213900 (number)
213,900 (two hundred thirteen thousand nine hundred) is an even sixdigits composite number following 213899 and preceding 213901. In scientific notation, it is written as 2.139 × 10^{5}. The sum of its digits is 15. It has a total of 7 prime factors and 72 positive divisors. There are 52,800 positive integers (up to 213900) that are relatively prime to 213900.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 15
 Digital Root 6
Name
Short name  213 thousand 900 

Full name  two hundred thirteen thousand nine hundred 
Notation
Scientific notation  2.139 × 10^{5} 

Engineering notation  213.9 × 10^{3} 
Prime Factorization of 213900
Prime Factorization 2^{2} × 3 × 5^{2} × 23 × 31
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  21390  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 213,900 is 2^{2} × 3 × 5^{2} × 23 × 31. Since it has a total of 7 prime factors, 213,900 is a composite number.
Divisors of 213900
72 divisors
τ(n)  Total Divisors  72  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  666624  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  452724  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  9258.666  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  462.49324319389  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  23.10267857143  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 213,900 can be divided by 72 positive divisors (out of which 48 are even, and 24 are odd). The sum of these divisors (counting 213,900) is 666,624, the average is 92,58.,666.
Other Arithmetic Functions (n = 213900)
φ(n)  Euler Totient  52800  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  660  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 19067  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 52,800 positive integers (less than 213,900) that are coprime with 213,900. And there are approximately 19,067 prime numbers less than or equal to 213,900.
Divisibility of 213900
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  1  4  6 
The number 213,900 is divisible by 2, 3, 4, 5 and 6.
Classification of 213900
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (213900)
Base  System  Value 

2  Binary  110100001110001100 
3  Ternary  101212102020 
4  Quaternary  310032030 
5  Quinary  23321100 
6  Senary  4330140 
8  Octal  641614 
10  Decimal  213900 
12  Duodecimal  a3950 
16  Hexadecimal  3438c 
20  Vigesimal  16ef0 
36  Base36  4l1o 
Basic calculations (n = 213900)
Multiplication
n×yn×2  427800 

n×3  641700 
n×4  855600 
n×5  1069500 
Division
n÷yn÷2  106950.000 

n÷3  71300.000 
n÷4  53475.000 
n÷5  42780.000 
Exponentiation
n^{y}n^{2}  45753210000 

n^{3}  9786611619000000 
n^{4}  2093356225304100000000 
n^{5}  447768896592546990000000000 
Nth Root
^{y}√n^{2}√n  462.49324319389 

^{3}√n  59.804921985748 
^{4}√n  21.505656074482 
^{5}√n  11.64239036472 
213900 as geometric shapes
Circle
Radius = nDiameter  427800 

Circumference  1343973.3372057 
Area  143737948414.15 
Sphere
Radius = nVolume  4.0994062887716E+16 

Surface area  574951793656.6 
Circumference  1343973.3372057 
Square
Length = nPerimeter  855600 

Area  45753210000 
Diagonal  302500.28099161 
Cube
Length = nSurface area  274519260000 

Volume  9786611619000000 
Space diagonal  370485.66773898 
Equilateral Triangle
Length = nPerimeter  641700 

Area  19811721082.342 
Altitude  185242.83386949 
Triangular Pyramid
Length = nSurface area  79246884329.368 

Volume  1.1533632401057E+15 
Height  174648.61866044 
Cryptographic Hash Functions
md5  e506148a5af8bedb47b41e04c26970ae 

sha1  0a7840dd7fd04fd8248ae1f36ab610cdfefcf6a8 
sha256  a56a1c89ab0ade2d7c5213aed8f8c885f896e1b3f0162516bd7a74d8c42d7c9c 
sha512  982eea37305fb7dd4b816456d856f97dd7171c37424d6261425ded31a607c9c37dd685be59193dd1f2fc7769466063bcc6b78f824b7e46050fd01fe4f3f26ecc 
ripemd160  6946479297cd501ed0af8bc323dbe5560f81f964 