90947 (number)
90,947 (ninety thousand nine hundred fortyseven) is an odd fivedigits prime number following 90946 and preceding 90948. In scientific notation, it is written as 9.0947 × 10^{4}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 90,946 positive integers (up to 90947) that are relatively prime to 90947.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 29
 Digital Root 2
Name
Short name  90 thousand 947 

Full name  ninety thousand nine hundred fortyseven 
Notation
Scientific notation  9.0947 × 10^{4} 

Engineering notation  90.947 × 10^{3} 
Prime Factorization of 90947
Prime Factorization 90947
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  90947  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  1  Returns:

Λ(n)  Mangoldt function  11.418032198246  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 90,947 is 90947. Since it has a total of 1 prime factor, 90,947 is a prime number.
Divisors of 90947
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  90948  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  45474  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  301.57420314079  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999978009412  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 90,947 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 90,947) is 90,948, the average is 45,474.
Other Arithmetic Functions (n = 90947)
φ(n)  Euler Totient  90946  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  90946  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8794  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 90,946 positive integers (less than 90,947) that are coprime with 90,947. And there are approximately 8,794 prime numbers less than or equal to 90,947.
Divisibility of 90947
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  2  5  3  3  2 
90,947 is not divisible by any number less than or equal to 9.
Classification of 90947
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (90947)
Base  System  Value 

2  Binary  10110001101000011 
3  Ternary  11121202102 
4  Quaternary  112031003 
5  Quinary  10402242 
6  Senary  1541015 
8  Octal  261503 
10  Decimal  90947 
12  Duodecimal  4476b 
16  Hexadecimal  16343 
20  Vigesimal  b777 
36  Base36  1y6b 
Basic calculations (n = 90947)
Multiplication
n×yn×2  181894 

n×3  272841 
n×4  363788 
n×5  454735 
Division
n÷yn÷2  45473.500 

n÷3  30315.666 
n÷4  22736.750 
n÷5  18189.400 
Exponentiation
n^{y}n^{2}  8271356809 

n^{3}  752255087708123 
n^{4}  68415343461790662481 
n^{5}  6222170241819475380659507 
Nth Root
^{y}√n^{2}√n  301.57420314079 

^{3}√n  44.970680489655 
^{4}√n  17.365891947746 
^{5}√n  9.8120030736376 
90947 as geometric shapes
Circle
Radius = nDiameter  181894 

Circumference  571436.85413206 
Area  25985233786.374 
Sphere
Radius = nVolume  3.1510387428925E+15 

Surface area  103940935145.5 
Circumference  571436.85413206 
Square
Length = nPerimeter  363788 

Area  8271356809 
Diagonal  128618.48085715 
Cube
Length = nSurface area  49628140854 

Volume  752255087708123 
Space diagonal  157524.82479597 
Equilateral Triangle
Length = nPerimeter  272841 

Area  3581602560.1797 
Altitude  78762.412397983 
Triangular Pyramid
Length = nSurface area  14326410240.719 

Volume  88654112283416 
Height  74257.914545634 
Cryptographic Hash Functions
md5  61a7482816249b974fbab5b8b5eb9991 

sha1  7d4abef5d5d5082e4babc7e163a709fbf05abcfe 
sha256  000318ec4d26f57a5facb03401d2f879a4b5c3cb95bc2bdca378ce078833733d 
sha512  2e3d3b1f0f69ee44cbb813cad799e0125240970aae7b0eba1223e5400758facc6198a7f5fe63df19d9402de0ce802ea8847664bbc56fbf12cc1c99f215db2d54 
ripemd160  257cdeba9b977aaef74e95235783f517aaff5b86 