58740 (number)
58,740 (fiftyeight thousand seven hundred forty) is an even fivedigits composite number following 58739 and preceding 58741. In scientific notation, it is written as 5.874 × 10^{4}. The sum of its digits is 24. It has a total of 6 prime factors and 48 positive divisors. There are 14,080 positive integers (up to 58740) that are relatively prime to 58740.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 24
 Digital Root 6
Name
Short name  58 thousand 740 

Full name  fiftyeight thousand seven hundred forty 
Notation
Scientific notation  5.874 × 10^{4} 

Engineering notation  58.74 × 10^{3} 
Prime Factorization of 58740
Prime Factorization 2^{2} × 3 × 5 × 11 × 89
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  29370  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 58,740 is 2^{2} × 3 × 5 × 11 × 89. Since it has a total of 6 prime factors, 58,740 is a composite number.
Divisors of 58740
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  181440  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  122700  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  3780  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  242.36336356801  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  15.539682539683  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 58,740 can be divided by 48 positive divisors (out of which 32 are even, and 16 are odd). The sum of these divisors (counting 58,740) is 181,440, the average is 3,780.
Other Arithmetic Functions (n = 58740)
φ(n)  Euler Totient  14080  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  440  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5929  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 14,080 positive integers (less than 58,740) that are coprime with 58,740. And there are approximately 5,929 prime numbers less than or equal to 58,740.
Divisibility of 58740
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  3  4  6 
The number 58,740 is divisible by 2, 3, 4, 5 and 6.
Classification of 58740
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (58740)
Base  System  Value 

2  Binary  1110010101110100 
3  Ternary  2222120120 
4  Quaternary  32111310 
5  Quinary  3334430 
6  Senary  1131540 
8  Octal  162564 
10  Decimal  58740 
12  Duodecimal  29bb0 
16  Hexadecimal  e574 
20  Vigesimal  76h0 
36  Base36  19bo 
Basic calculations (n = 58740)
Multiplication
n×yn×2  117480 

n×3  176220 
n×4  234960 
n×5  293700 
Division
n÷yn÷2  29370.000 

n÷3  19580.000 
n÷4  14685.000 
n÷5  11748.000 
Exponentiation
n^{y}n^{2}  3450387600 

n^{3}  202675767624000 
n^{4}  11905174590233760000 
n^{5}  699309955430331062400000 
Nth Root
^{y}√n^{2}√n  242.36336356801 

^{3}√n  38.872694693444 
^{4}√n  15.568023752809 
^{5}√n  8.9905609257769 
58740 as geometric shapes
Circle
Radius = nDiameter  117480 

Circumference  369074.30494373 
Area  10839712336.197 
Sphere
Radius = nVolume  8.4896627017097E+14 

Surface area  43358849344.789 
Circumference  369074.30494373 
Square
Length = nPerimeter  234960 

Area  3450387600 
Diagonal  83070.904653796 
Cube
Length = nSurface area  20702325600 

Volume  202675767624000 
Space diagonal  101740.6644366 
Equilateral Triangle
Length = nPerimeter  176220 

Area  1494061657.2514 
Altitude  50870.332218298 
Triangular Pyramid
Length = nSurface area  5976246629.0056 

Volume  23885568278187 
Height  47961.009163695 
Cryptographic Hash Functions
md5  d292aa6729cefb21ab95e77bc783055e 

sha1  9d9ce55a2f022fd715d652378fd0fcf91d8568f5 
sha256  6c0b6a6d0271fbafc4453cee3a57670057fa7d140685e3c29db68454c3fd287f 
sha512  4fa96077c3bb6d0ac222a7828296e72c8d014bc3879866c062b2561ebc3f858a61f0a0a455a2ec40ec048e89e9f178975e7f86c0ac3f059701c5588fa43fa933 
ripemd160  72a988f1ff6355da397b257f38d5249e79ab410d 