66540 (number)
66,540 (sixtysix thousand five hundred forty) is an even fivedigits composite number following 66539 and preceding 66541. In scientific notation, it is written as 6.654 × 10^{4}. The sum of its digits is 21. It has a total of 5 prime factors and 24 positive divisors. There are 17,728 positive integers (up to 66540) that are relatively prime to 66540.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 21
 Digital Root 3
Name
Short name  66 thousand 540 

Full name  sixtysix thousand five hundred forty 
Notation
Scientific notation  6.654 × 10^{4} 

Engineering notation  66.54 × 10^{3} 
Prime Factorization of 66540
Prime Factorization 2^{2} × 3 × 5 × 1109
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  33270  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 66,540 is 2^{2} × 3 × 5 × 1109. Since it has a total of 5 prime factors, 66,540 is a composite number.
Divisors of 66540
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  186480  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  119940  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  7770  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  257.95348417883  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  8.5637065637066  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 66,540 can be divided by 24 positive divisors (out of which 16 are even, and 8 are odd). The sum of these divisors (counting 66,540) is 186,480, the average is 7,770.
Other Arithmetic Functions (n = 66540)
φ(n)  Euler Totient  17728  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  1108  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 6633  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 17,728 positive integers (less than 66,540) that are coprime with 66,540. And there are approximately 6,633 prime numbers less than or equal to 66,540.
Divisibility of 66540
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  5  4  3 
The number 66,540 is divisible by 2, 3, 4, 5 and 6.
Classification of 66540
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
Base conversion (66540)
Base  System  Value 

2  Binary  10000001111101100 
3  Ternary  10101021110 
4  Quaternary  100033230 
5  Quinary  4112130 
6  Senary  1232020 
8  Octal  201754 
10  Decimal  66540 
12  Duodecimal  32610 
16  Hexadecimal  103ec 
20  Vigesimal  8670 
36  Base36  1fcc 
Basic calculations (n = 66540)
Multiplication
n×yn×2  133080 

n×3  199620 
n×4  266160 
n×5  332700 
Division
n÷yn÷2  33270.000 

n÷3  22180.000 
n÷4  16635.000 
n÷5  13308.000 
Exponentiation
n^{y}n^{2}  4427571600 

n^{3}  294610614264000 
n^{4}  19603390273126560000 
n^{5}  1304409588773841302400000 
Nth Root
^{y}√n^{2}√n  257.95348417883 

^{3}√n  40.522316613949 
^{4}√n  16.060930364672 
^{5}√n  9.2175724386661 
66540 as geometric shapes
Circle
Radius = nDiameter  133080 

Circumference  418083.15033973 
Area  13909626411.803 
Sphere
Radius = nVolume  1.2340620552551E+15 

Surface area  55638505647.211 
Circumference  418083.15033973 
Square
Length = nPerimeter  266160 

Area  4427571600 
Diagonal  94101.770440306 
Cube
Length = nSurface area  26565429600 

Volume  294610614264000 
Space diagonal  115250.66073563 
Equilateral Triangle
Length = nPerimeter  199620 

Area  1917194741.3373 
Altitude  57625.330367817 
Triangular Pyramid
Length = nSurface area  7668778965.349 

Volume  34720193859268 
Height  54329.682494931 
Cryptographic Hash Functions
md5  a037f73986ee673263e5140067d9914c 

sha1  02c9d69d4bb022ac8c8dd95f5c266190cd8adb56 
sha256  48303efc04d3c74eb002cef461603774a63d9aa4ca937fd1b933e63b6ae5bc4e 
sha512  6c0a35abe400d115ff7ce05a26c16244d1a3fe7fa2139aff57622244a4cf9e316a53d96dd5bd1aabbd1a0d786a18502a73c434af636a8c788f29eb1bbb4e79a6 
ripemd160  d9953f5ffa8ddae11729402bffb8221220ebd789 