568
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1080
- Proper Divisor Sum (Aliquot Sum)
- 512
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 280
- Möbius Function
- 0
- Radical
- 142
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 105
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- fünfhundertachtundsechzig· ordinal: fünfhundertachtundsechzigste
- English
- five hundred sixty-eight· ordinal: five hundred sixty-eighth
- Spanish
- quinientos sesenta y ocho· ordinal: 568º
- French
- cinq cent soixante-huit· ordinal: cinq cent soixante-huitième
- Italian
- cinquecentosessantotto· ordinal: 568º
- Latin
- quingenti sexaginta octo· ordinal: 568.
- Portuguese
- quinhentos e sessenta e oito· ordinal: 568º
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=28A001304
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=57A001362
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=56A001362
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=26A001682
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=25A001767
- The square sieve.at n=41A002960
- Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet.at n=11A003000
- Numbers that are the sum of 8 positive 4th powers.at n=54A003342
- Numbers that are a sum of distinct positive cubes in more than one way.at n=8A003998
- Number of alternating sign n X n matrices symmetric with respect to both diagonals.at n=7A005162
- 1 + (sum of first n odd primes - n)/2.at n=25A005521
- Spiral sieve using Fibonacci numbers.at n=13A005625
- Numbers k such that k^16 + 1 is prime.at n=27A006313
- a(n+1) = a(n) + sum of digits of a(n), with a(1)=7.at n=50A006507
- Expansion of a modular function for gamma_0(6).at n=10A006708
- Discriminants of totally real cubic fields.at n=13A006832
- Expansion of Product_{m>=1} (1 + q^m)^(-8).at n=6A007259
- Coefficients of completely replicable function "6d".at n=18A007263
- Sum of the first n primes.at n=19A007504
- Coordination sequence T1 for Zeolite Code AEI.at n=18A008001