108640 (number)
108,640 (one hundred eight thousand six hundred forty) is an even sixdigits composite number following 108639 and preceding 108641. In scientific notation, it is written as 1.0864 × 10^{5}. The sum of its digits is 19. It has a total of 8 prime factors and 48 positive divisors. There are 36,864 positive integers (up to 108640) that are relatively prime to 108640.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 19
 Digital Root 1
Name
Short name  108 thousand 640 

Full name  one hundred eight thousand six hundred forty 
Notation
Scientific notation  1.0864 × 10^{5} 

Engineering notation  108.64 × 10^{3} 
Prime Factorization of 108640
Prime Factorization 2^{5} × 5 × 7 × 97
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  8  Total number of prime factors 
rad(n)  Radical  6790  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 108,640 is 2^{5} × 5 × 7 × 97. Since it has a total of 8 prime factors, 108,640 is a composite number.
Divisors of 108640
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  296352  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  187712  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  6174  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  329.60582519124  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  17.596371882086  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 108,640 can be divided by 48 positive divisors (out of which 40 are even, and 8 are odd). The sum of these divisors (counting 108,640) is 296,352, the average is 6,174.
Other Arithmetic Functions (n = 108640)
φ(n)  Euler Totient  36864  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  96  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10308  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 36,864 positive integers (less than 108,640) that are coprime with 108,640. And there are approximately 10,308 prime numbers less than or equal to 108,640.
Divisibility of 108640
m  2  3  4  5  6  7  8  9 

n mod m  0  1  0  0  4  0  0  1 
The number 108,640 is divisible by 2, 4, 5, 7 and 8.
Classification of 108640
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
Other numbers
 Frugal
Base conversion (108640)
Base  System  Value 

2  Binary  11010100001100000 
3  Ternary  12112000201 
4  Quaternary  122201200 
5  Quinary  11434030 
6  Senary  2154544 
8  Octal  324140 
10  Decimal  108640 
12  Duodecimal  52a54 
16  Hexadecimal  1a860 
20  Vigesimal  dbc0 
36  Base36  2bts 
Basic calculations (n = 108640)
Multiplication
n×yn×2  217280 

n×3  325920 
n×4  434560 
n×5  543200 
Division
n÷yn÷2  54320.000 

n÷3  36213.333 
n÷4  27160.000 
n÷5  21728.000 
Exponentiation
n^{y}n^{2}  11802649600 

n^{3}  1282239852544000 
n^{4}  139302537580380160000 
n^{5}  15133827682732500582400000 
Nth Root
^{y}√n^{2}√n  329.60582519124 

^{3}√n  47.71591456511 
^{4}√n  18.15504957832 
^{5}√n  10.167120045177 
108640 as geometric shapes
Circle
Radius = nDiameter  217280 

Circumference  682605.25177199 
Area  37079117276.255 
Sphere
Radius = nVolume  5.3710337345231E+15 

Surface area  148316469105.02 
Circumference  682605.25177199 
Square
Length = nPerimeter  434560 

Area  11802649600 
Diagonal  153640.16141621 
Cube
Length = nSurface area  70815897600 

Volume  1282239852544000 
Space diagonal  188169.99973428 
Equilateral Triangle
Length = nPerimeter  325920 

Area  5110697192.7831 
Altitude  94084.999867141 
Triangular Pyramid
Length = nSurface area  20442788771.132 

Volume  1.5111341580692E+14 
Height  88704.188551988 
Cryptographic Hash Functions
md5  d71957f87cf0f1d8520f060e81afc1f7 

sha1  97884341f947770b4ca0109ca004fee9a3360fe1 
sha256  a9d75745a5b22ba2f23e3e4458ed4ef8c1f1283f8aa7725d13b1d3898b7fa462 
sha512  ed09e9bb9ee9e54bf460613e57c26d455ac8172c72d41c7fa5f4b7ea12ece070b310254b16d21805d6ace889d0132ed9133766c26eb44a53e3f65da7291700bc 
ripemd160  1130619c8a2315c82e9b79eed8b128f8a58baaa8 