91009 (number)
91,009 (ninetyone thousand nine) is an odd fivedigits prime number following 91008 and preceding 91010. In scientific notation, it is written as 9.1009 × 10^{4}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 91,008 positive integers (up to 91009) that are relatively prime to 91009.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 19
 Digital Root 1
Name
Short name  91 thousand 9 

Full name  ninetyone thousand nine 
Notation
Scientific notation  9.1009 × 10^{4} 

Engineering notation  91.009 × 10^{3} 
Prime Factorization of 91009
Prime Factorization 91009
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  91009  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  11.418713681707  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 91,009 is 91009. Since it has a total of 1 prime factor, 91,009 is a prime number.
Divisors of 91009
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  91010  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  45505  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  301.67697956589  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999780243929  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 91,009 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 91,009) is 91,010, the average is 45,505.
Other Arithmetic Functions (n = 91009)
φ(n)  Euler Totient  91008  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  91008  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8799  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 91,008 positive integers (less than 91,009) that are coprime with 91,009. And there are approximately 8,799 prime numbers less than or equal to 91,009.
Divisibility of 91009
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  2  1  1 
91,009 is not divisible by any number less than or equal to 9.
Classification of 91009
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (91009)
Base  System  Value 

2  Binary  10110001110000001 
3  Ternary  11121211201 
4  Quaternary  112032001 
5  Quinary  10403014 
6  Senary  1541201 
8  Octal  261601 
10  Decimal  91009 
12  Duodecimal  44801 
16  Hexadecimal  16381 
20  Vigesimal  b7a9 
36  Base36  1y81 
Basic calculations (n = 91009)
Multiplication
n×yn×2  182018 

n×3  273027 
n×4  364036 
n×5  455045 
Division
n÷yn÷2  45504.500 

n÷3  30336.333 
n÷4  22752.250 
n÷5  18201.800 
Exponentiation
n^{y}n^{2}  8282638081 

n^{3}  753794609113729 
n^{4}  68602093580831362561 
n^{5}  6243407934697881475314049 
Nth Root
^{y}√n^{2}√n  301.67697956589 

^{3}√n  44.980897241711 
^{4}√n  17.368850841834 
^{5}√n  9.8133405083442 
91009 as geometric shapes
Circle
Radius = nDiameter  182018 

Circumference  571826.41162111 
Area  26020674947.613 
Sphere
Radius = nVolume  3.1574874750764E+15 

Surface area  104082699790.45 
Circumference  571826.41162111 
Square
Length = nPerimeter  364036 

Area  8282638081 
Diagonal  128706.16209801 
Cube
Length = nSurface area  49695828486 

Volume  753794609113729 
Space diagonal  157632.21194604 
Equilateral Triangle
Length = nPerimeter  273027 

Area  3586487494.2492 
Altitude  78816.105973018 
Triangular Pyramid
Length = nSurface area  14345949976.997 

Volume  88835546621030 
Height  74308.537333651 
Cryptographic Hash Functions
md5  1b0e6e2fefaa8bdb2414cc9601fe60ee 

sha1  9a41f4332a876852ba9d4457a9090fcbad7766ce 
sha256  4e84bd4e5d905c7d1c75a114ed4defae9f7f27c99a49953b5673436c0e8aaa2e 
sha512  a625fe7dd45a3030be9f4a44a1754025091e1dbff1c1f2ed451f4e636866be5b1125a667168ccce96320408e41e93670f0ec44f14b95807315647bdde74abd59 
ripemd160  2362dc0682ca0467be04098cdc8e0cc278715c84 