66509 (number)
66,509 (sixtysix thousand five hundred nine) is an odd fivedigits prime number following 66508 and preceding 66510. In scientific notation, it is written as 6.6509 × 10^{4}. The sum of its digits is 26. It has a total of 1 prime factor and 2 positive divisors. There are 66,508 positive integers (up to 66509) that are relatively prime to 66509.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 26
 Digital Root 8
Name
Short name  66 thousand 509 

Full name  sixtysix thousand five hundred nine 
Notation
Scientific notation  6.6509 × 10^{4} 

Engineering notation  66.509 × 10^{3} 
Prime Factorization of 66509
Prime Factorization 66509
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  66509  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  11.105092555832  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 66,509 is 66509. Since it has a total of 1 prime factor, 66,509 is a prime number.
Divisors of 66509
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  66510  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  33255  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  257.89338882569  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999699293339  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 66,509 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 66,509) is 66,510, the average is 33,255.
Other Arithmetic Functions (n = 66509)
φ(n)  Euler Totient  66508  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  66508  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 6630  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 66,508 positive integers (less than 66,509) that are coprime with 66,509. And there are approximately 6,630 prime numbers less than or equal to 66,509.
Divisibility of 66509
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  4  5  2  5  8 
66,509 is not divisible by any number less than or equal to 9.
Classification of 66509
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (66509)
Base  System  Value 

2  Binary  10000001111001101 
3  Ternary  10101020022 
4  Quaternary  100033031 
5  Quinary  4112014 
6  Senary  1231525 
8  Octal  201715 
10  Decimal  66509 
12  Duodecimal  325a5 
16  Hexadecimal  103cd 
20  Vigesimal  8659 
36  Base36  1fbh 
Basic calculations (n = 66509)
Multiplication
n×yn×2  133018 

n×3  199527 
n×4  266036 
n×5  332545 
Division
n÷yn÷2  33254.500 

n÷3  22169.666 
n÷4  16627.250 
n÷5  13301.800 
Exponentiation
n^{y}n^{2}  4423447081 

n^{3}  294199041910229 
n^{4}  19566884078407420561 
n^{5}  1301373893170799134091549 
Nth Root
^{y}√n^{2}√n  257.89338882569 

^{3}√n  40.516022720822 
^{4}√n  16.059059400404 
^{5}√n  9.2167134124858 
66509 as geometric shapes
Circle
Radius = nDiameter  133018 

Circumference  417888.37159521 
Area  13896668853.213 
Sphere
Radius = nVolume  1.2323380650111E+15 

Surface area  55586675412.851 
Circumference  417888.37159521 
Square
Length = nPerimeter  266036 

Area  4423447081 
Diagonal  94057.929819872 
Cube
Length = nSurface area  26540682486 

Volume  294199041910229 
Space diagonal  115196.9671606 
Equilateral Triangle
Length = nPerimeter  199527 

Area  1915408772.2211 
Altitude  57598.483580299 
Triangular Pyramid
Length = nSurface area  7661635088.8842 

Volume  34671689592218 
Height  54304.371100922 
Cryptographic Hash Functions
md5  32a9fa4ec285117cdee178a5b7b7bd7b 

sha1  d5b034e720a7481d2add11b7fc4ef55df5f517e9 
sha256  06fd6e9d6530cc59b405ad1f417afc19c5b6b5e818350943e1c43afc32249cfe 
sha512  d44903aeca1f627cdf3d47483dc76a8e29067846a4dafa55b615273bb0f29117beab5921123fd744d909b54ba4966e73d85498c7a456c8903e72c67fbcdd7892 
ripemd160  9184469c8be797594939d597f5f296b2b09da496 