90680 (number)
90,680 (ninety thousand six hundred eighty) is an even fivedigits composite number following 90679 and preceding 90681. In scientific notation, it is written as 9.068 × 10^{4}. The sum of its digits is 23. It has a total of 5 prime factors and 16 positive divisors. There are 36,256 positive integers (up to 90680) that are relatively prime to 90680.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 23
 Digital Root 5
Name
Short name  90 thousand 680 

Full name  ninety thousand six hundred eighty 
Notation
Scientific notation  9.068 × 10^{4} 

Engineering notation  90.68 × 10^{3} 
Prime Factorization of 90680
Prime Factorization 2^{3} × 5 × 2267
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  22670  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 90,680 is 2^{3} × 5 × 2267. Since it has a total of 5 prime factors, 90,680 is a composite number.
Divisors of 90680
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  204120  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  113440  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  12757.5  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  301.13120064185  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  7.1079757005683  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 90,680 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 90,680) is 204,120, the average is 1,275,7.5.
Other Arithmetic Functions (n = 90680)
φ(n)  Euler Totient  36256  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  4532  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8770  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 36,256 positive integers (less than 90,680) that are coprime with 90,680. And there are approximately 8,770 prime numbers less than or equal to 90,680.
Divisibility of 90680
m  2  3  4  5  6  7  8  9 

n mod m  0  2  0  0  2  2  0  5 
The number 90,680 is divisible by 2, 4, 5 and 8.
Classification of 90680
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
Base conversion (90680)
Base  System  Value 

2  Binary  10110001000111000 
3  Ternary  11121101112 
4  Quaternary  112020320 
5  Quinary  10400210 
6  Senary  1535452 
8  Octal  261070 
10  Decimal  90680 
12  Duodecimal  44588 
16  Hexadecimal  16238 
20  Vigesimal  b6e0 
36  Base36  1xyw 
Basic calculations (n = 90680)
Multiplication
n×yn×2  181360 

n×3  272040 
n×4  362720 
n×5  453400 
Division
n÷yn÷2  45340.000 

n÷3  30226.666 
n÷4  22670.000 
n÷5  18136.000 
Exponentiation
n^{y}n^{2}  8222862400 

n^{3}  745649162432000 
n^{4}  67615466049333760000 
n^{5}  6131370461353585356800000 
Nth Root
^{y}√n^{2}√n  301.13120064185 

^{3}√n  44.926629408572 
^{4}√n  17.353132300592 
^{5}√n  9.8062351280985 
90680 as geometric shapes
Circle
Radius = nDiameter  181360 

Circumference  569759.24365504 
Area  25832884107.32 
Sphere
Radius = nVolume  3.1233679078023E+15 

Surface area  103331536429.28 
Circumference  569759.24365504 
Square
Length = nPerimeter  362720 

Area  8222862400 
Diagonal  128240.88583599 
Cube
Length = nSurface area  49337174400 

Volume  745649162432000 
Space diagonal  157062.36723035 
Equilateral Triangle
Length = nPerimeter  272040 

Area  3560603865.1119 
Altitude  78531.183615173 
Triangular Pyramid
Length = nSurface area  14242415460.448 

Volume  87875596523623 
Height  74039.909958526 
Cryptographic Hash Functions
md5  df0b178f266d4cde23d0b5a6c001c470 

sha1  4985428a3a9efcf872895ff75ed5493b86cdf211 
sha256  55c88ea291288b6733a09bd54c2aafaefac277fc31b7c8371ff960d098d2261c 
sha512  ddb38f73ddfd4ee5c636feb8b0dd4ab117288f8921c410f5d7b2980160741384e05c4d0cb8676b09b392d085b69a145599a7adead6aaef1daa375d41c8f70edc 
ripemd160  e183f74f19d6f6e68d3ce7fa8f60c4397127e1ec 