6800 (number)
6800 is an even fourdigits composite number following 6799 and preceding 6801. In scientific notation, it is written as 6.8 × 10^{3}. The sum of its digits is 14. It has a total of 7 prime factors and 30 positive divisors. There are 2,560 positive integers (up to 6800) that are relatively prime to 6800.
Basic properties
 Is Prime? no
 Number parity even
 Number length 4
 Sum of Digits 14
 Digital Root 5
Name
Name  six thousand eight hundred 

Notation
Scientific notation  6.8 × 10^{3} 

Engineering notation  6.8 × 10^{3} 
Prime Factorization of 6800
Prime Factorization 2^{4} × 5^{2} × 17
Composite numberω  Distinct Factors  3  Total number of distinct prime factors 

Ω  Total Factors  7  Total number of prime factors 
rad  Radical  170  Product of the distinct prime numbers 
λ  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ  Mobius Mu  0  Returns:

Λ  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 6800 is 2^{4} × 5^{2} × 17. Since it has a total of 7 prime factors, 6800 is a composite number.
Divisors of 6800
30 divisors
τ  Total Divisors  30  Total number of the positive divisors of n 

σ  Sum of Divisors  17298  Sum of all the positive divisors of n 
s  Aliquot Sum  10498  Sum of the proper positive divisors of n 
A  Arithmetic Mean  576.6  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G  Geometric Mean  82.462112512353  Returns the nth root of the product of n divisors 
H  Harmonic Mean  11.79327089837  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 6800 can be divided by 30 positive divisors (out of which 24 are even, and 6 are odd). The sum of these divisors (counting 6800) is 17298, the average is 576.6.
Other Arithmetic Functions (n = 6800)
φ  Euler Totient  2560  Total number of positive integers not greater than n that are coprime to n 

λ  Carmichael Lambda  80  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π  Prime Pi  ≈ 878  Total number of primes less than or equal to n 
r_{2}  Sum of 2 squares  24  The number of ways n can be represented as the sum of 2 squares 
There are 2,560 positive integers (less than 6800) that are coprime with 6800. And there are approximately 878 prime numbers less than or equal to 6800.
Divisibility of 6800
m  n mod m 

2  0 
3  2 
4  0 
5  0 
6  2 
7  3 
8  0 
9  5 
The number 6800 is divisible by 2, 4, 5 and 8.
Classification of 6800
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion 6800
Base  System  Value 

2  Binary  1101010010000 
3  Ternary  100022212 
4  Quaternary  1222100 
5  Quinary  204200 
6  Senary  51252 
8  Octal  15220 
10  Decimal  6800 
12  Duodecimal  3b28 
16  Hexadecimal  1a90 
20  Vigesimal  h00 
36  Base36  58w 
Basic calculations (n = 6800)
Multiplication
n×yn×2  13600 

n×3  20400 
n×4  27200 
n×5  34000 
Division
n÷yn÷2  3400.000 

n÷3  2266.666 
n÷4  1700.000 
n÷5  1360.000 
Exponentiation
n^{y}n^{2}  46240000 

n^{3}  314432000000 
n^{4}  2138137600000000 
n^{5}  14539335680000000000 
Nth Root
^{y}√n^{2}√n  82.462112512353 

^{3}√n  18.945364743718 
^{4}√n  9.0808651852317 
^{5}√n  5.8411960457932 
6800 as geometric shapes
Circle
Radius = nDiameter  13600 

Circumference  42725.660088821 
Area  145267244.30199 
Sphere
Radius = nVolume  1317089681671.4 

Surface area  581068977.20797 
Circumference  42725.660088821 
Square
Length = nPerimeter  27200 

Area  46240000 
Diagonal  9616.652224137 
Cube
Length = nSurface area  277440000 

Volume  314432000000 
Space diagonal  11777.945491468 
Equilateral Triangle
Length = nPerimeter  20400 

Area  20022507.335496 
Altitude  5888.9727457342 
Triangular Pyramid
Length = nSurface area  80090029.341985 

Volume  37056166570.341 
Height  5552.1767503085 
Cryptographic Hash Functions
md5  21e60123a3a0df92f391f66b1e51903a 

sha1  7addee5d0f471dbe4878a106ec480b107e56cb27 
sha256  2e56a8020dd31df8ebc207b8aa6f0e25d3cc8f3d10e5203146c880cedd0f9d2a 
sha512  cdce4e1daa3cea2b793b979698c24cae6c8d38e2fa5b6f206621f5922d8304d3904d4345c1b20cbc6b706a6ea551cc718a94eff0f45ec0d65ac7e45024aec413 
ripemd160  f81fa7f79cc0251085cc1e2f85fb6d0614e0a500 