8640 (number)
8,640 (eight thousand six hundred forty) is an even fourdigits composite number following 8639 and preceding 8641. In scientific notation, it is written as 8.64 × 10^{3}. The sum of its digits is 18. It has a total of 10 prime factors and 56 positive divisors. There are 2,304 positive integers (up to 8640) that are relatively prime to 8640.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 18
 Digital Root 9
Name
Short name  8 thousand 640 

Full name  eight thousand six hundred forty 
Notation
Scientific notation  8.64 × 10^{3} 

Engineering notation  8.64 × 10^{3} 
Prime Factorization of 8640
Prime Factorization 2^{6} × 3^{3} × 5
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  10  Total number of prime factors 
rad(n)  Radical  30  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 8,640 is 2^{6} × 3^{3} × 5. Since it has a total of 10 prime factors, 8,640 is a composite number.
Divisors of 8640
56 divisors
τ(n)  Total Divisors  56  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  30480  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  21840  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  544.285  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  92.951600308978  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  15.874015748052  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 8,640 can be divided by 56 positive divisors (out of which 48 are even, and 8 are odd). The sum of these divisors (counting 8,640) is 30,480, the average is 5,44.,285.
Other Arithmetic Functions (n = 8640)
φ(n)  Euler Totient  2304  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  288  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 1082  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 2,304 positive integers (less than 8,640) that are coprime with 8,640. And there are approximately 1,082 prime numbers less than or equal to 8,640.
Divisibility of 8640
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  2  0  0 
The number 8,640 is divisible by 2, 3, 4, 5, 6, 8 and 9.
Classification of 8640
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
By Shape (2D, noncentered)
 Octagonal
Other numbers
 Frugal
 Regular
Base conversion (8640)
Base  System  Value 

2  Binary  10000111000000 
3  Ternary  102212000 
4  Quaternary  2013000 
5  Quinary  234030 
6  Senary  104000 
8  Octal  20700 
10  Decimal  8640 
12  Duodecimal  5000 
16  Hexadecimal  21c0 
20  Vigesimal  11c0 
36  Base36  6o0 
Basic calculations (n = 8640)
Multiplication
n×yn×2  17280 

n×3  25920 
n×4  34560 
n×5  43200 
Division
n÷yn÷2  4320.000 

n÷3  2880.000 
n÷4  2160.000 
n÷5  1728.000 
Exponentiation
n^{y}n^{2}  74649600 

n^{3}  644972544000 
n^{4}  5572562780160000 
n^{5}  48146942420582400000 
Nth Root
^{y}√n^{2}√n  92.951600308978 

^{3}√n  20.51971136012 
^{4}√n  9.6411410273358 
^{5}√n  6.1277741256008 
8640 as geometric shapes
Circle
Radius = nDiameter  17280 

Circumference  54286.721054032 
Area  234518634.95342 
Sphere
Radius = nVolume  2701654674663.4 

Surface area  938074539.81367 
Circumference  54286.721054032 
Square
Length = nPerimeter  34560 

Area  74649600 
Diagonal  12218.805178904 
Cube
Length = nSurface area  447897600 

Volume  644972544000 
Space diagonal  14964.918977395 
Equilateral Triangle
Length = nPerimeter  25920 

Area  32324224.991173 
Altitude  7482.4594886975 
Triangular Pyramid
Length = nSurface area  129296899.96469 

Volume  76010743256.923 
Height  7054.5304592156 
Cryptographic Hash Functions
md5  5aaffbae8a48fc24f114ee4dcd9c6171 

sha1  bae0ddaf871049ed037c2415f8b56944bcfb51b8 
sha256  475416c10cbf4230ef4615b2311cb738f4c3ab4af7a4a3af3dd6724c20a53d10 
sha512  8c9f7722c5c4ddaac906cab55987c9e796d5f0fdc5108160572fe15e50132d0246e959ed81a0e25135c1c034d4f0d48a2c3ddfe3165a2433250f481a0a613a63 
ripemd160  7972558c6a8fda16bf048c35fd075555c8a89405 