35640 (number)
35,640 (thirtyfive thousand six hundred forty) is an even fivedigits composite number following 35639 and preceding 35641. In scientific notation, it is written as 3.564 × 10^{4}. The sum of its digits is 18. It has a total of 9 prime factors and 80 positive divisors. There are 8,640 positive integers (up to 35640) that are relatively prime to 35640.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  35 thousand 640 

Full name  thirtyfive thousand six hundred forty 
Notation
Scientific notation  3.564 × 10^{4} 

Engineering notation  35.64 × 10^{3} 
Prime Factorization of 35640
Prime Factorization 2^{3} × 3^{4} × 5 × 11
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  9  Total number of prime factors 
rad(n)  Radical  330  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 35,640 is 2^{3} × 3^{4} × 5 × 11. Since it has a total of 9 prime factors, 35,640 is a composite number.
Divisors of 35640
80 divisors
τ(n)  Total Divisors  80  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  130680  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  95040  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1633.5  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  188.78559267063  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  21.818181818182  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 35,640 can be divided by 80 positive divisors (out of which 60 are even, and 20 are odd). The sum of these divisors (counting 35,640) is 130,680, the average is 163,3.5.
Other Arithmetic Functions (n = 35640)
φ(n)  Euler Totient  8640  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  540  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3789  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 8,640 positive integers (less than 35,640) that are coprime with 35,640. And there are approximately 3,789 prime numbers less than or equal to 35,640.
Divisibility of 35640
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  3  0  0 
The number 35,640 is divisible by 2, 3, 4, 5, 6, 8 and 9.
Classification of 35640
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (35640)
Base  System  Value 

2  Binary  1000101100111000 
3  Ternary  1210220000 
4  Quaternary  20230320 
5  Quinary  2120030 
6  Senary  433000 
8  Octal  105470 
10  Decimal  35640 
12  Duodecimal  18760 
16  Hexadecimal  8b38 
20  Vigesimal  4920 
36  Base36  ri0 
Basic calculations (n = 35640)
Multiplication
n×yn×2  71280 

n×3  106920 
n×4  142560 
n×5  178200 
Division
n÷yn÷2  17820.000 

n÷3  11880.000 
n÷4  8910.000 
n÷5  7128.000 
Exponentiation
n^{y}n^{2}  1270209600 

n^{3}  45270270144000 
n^{4}  1613432427932160000 
n^{5}  57502731731502182400000 
Nth Root
^{y}√n^{2}√n  188.78559267063 

^{3}√n  32.908839314596 
^{4}√n  13.739926952885 
^{5}√n  8.1355616243656 
35640 as geometric shapes
Circle
Radius = nDiameter  71280 

Circumference  223932.72434788 
Area  3990481147.8792 
Sphere
Radius = nVolume  1.8962766414722E+14 

Surface area  15961924591.517 
Circumference  223932.72434788 
Square
Length = nPerimeter  142560 

Area  1270209600 
Diagonal  50402.571362977 
Cube
Length = nSurface area  7621257600 

Volume  45270270144000 
Space diagonal  61730.290781755 
Equilateral Triangle
Length = nPerimeter  106920 

Area  550016890.86544 
Altitude  30865.145390877 
Triangular Pyramid
Length = nSurface area  2200067563.4617 

Volume  5335152500828.2 
Height  29099.938144264 
Cryptographic Hash Functions
md5  a9a82b0b868b6252298fb3f261209f90 

sha1  42fb05b6713f03aaede47dc521c2fe810a49e8d0 
sha256  5361ed8fa6fc728c26ed156992451c282874001aebeb14fe3ba60ab779f93fed 
sha512  bdf4cac2a5066be9c3e025b1fdeb5e07fcd8ee76aa769b93954c496022c7da2486ae45a48203cfcf68b2db532bfbfdc795c9bd45e27c7b9d747e908e8311207c 
ripemd160  7ce7da301b79340ae08e61e4eae60b6b77e42b24 