560
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 1488
- Proper Divisor Sum (Aliquot Sum)
- 928
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 192
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 17
- 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
- fünfhundertsechzig· ordinal: fünfhundertsechzigste
- English
- five hundred sixty· ordinal: five hundred sixtieth
- Spanish
- quinientos sesenta· ordinal: 560º
- French
- cinq cent soixante· ordinal: cinq cent soixantième
- Italian
- cinquecentosessanta· ordinal: 560º
- Latin
- quingenti sexaginta· ordinal: 560.
- Portuguese
- quinhentos e sessenta· ordinal: 560º
Appears in sequences
- a(n) = n*(n+3)/2.at n=32A000096
- Number of ways of writing n as a sum of 5 squares.at n=11A000132
- Number of ways of writing n as a sum of 5 squares.at n=10A000132
- Number of ways of writing n as a sum of 5 squares.at n=13A000132
- a(n) = floor(n^2/3).at n=41A000212
- Number of bipartite partitions of n white objects and 2 black ones.at n=11A000291
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=14A000292
- Powers of rooted tree enumerator.at n=6A000439
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=14A000567
- Expansion of Product (1 - x^k)^8 in powers of x.at n=17A000731
- Number of compositions of n into 4 ordered relatively prime parts.at n=13A000742
- a(n) = Catalan(n) + Catalan(n+1) - 1.at n=6A000778
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=27A001082
- Numbers that are the sum of 4 cubes in more than 1 way.at n=32A001245
- Product of Fibonacci and Pell numbers.at n=5A001582
- a(n) = binomial(n,3)*2^(n-3).at n=4A001789
- Almost trivalent maps.at n=1A002010
- a(n) = 4*(2n+1)!/n!^2.at n=3A002011
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=7A002492
- Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i and p(1) <= 3.at n=7A002527