590
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1080
- Proper Divisor Sum (Aliquot Sum)
- 490
- 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
- 232
- Möbius Function
- -1
- Radical
- 590
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 56
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- fünfhundertneunzig· ordinal: fünfhundertneunzigste
- English
- five hundred ninety· ordinal: five hundred ninetieth
- Spanish
- quinientos noventa· ordinal: 590º
- French
- cinq cent quatre-vingt-dix· ordinal: cinq cent quatre-vingt-dixième
- Italian
- cinquecentonovanta· ordinal: 590º
- Latin
- quingenti nonaginta· ordinal: 590.
- Portuguese
- quinhentos e noventa· ordinal: 590º
Appears in sequences
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=20A000326
- Number of switching networks with S(n,2) acting on the domain and AG(2,2) acting on the range where S(n,k) is the symmetric group acting on k variables.at n=2A000886
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=39A001318
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=58A001840
- Number of 3-covers of an unlabeled n-set.at n=8A005783
- Molien series for 6-dimensional complex representation of double cover of J2.at n=64A005813
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=7A005914
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=14A005918
- Number of strict 3rd-order maximal independent sets in cycle graph.at n=29A007392
- Number of factors in the infinite word formed by the Kolakoski sequence A000002.at n=29A007782
- a(n) = ceiling((n-3)(n-4)/6).at n=60A007997
- Expansion of Jacobi theta constant theta_2^5 /32.at n=38A008439
- Expansion of Jacobi theta constant theta_2^5 /32.at n=42A008439
- Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)).at n=64A008673
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=29A008822
- Coordination sequence T3 for Zeolite Code -CLO.at n=22A009852
- Coordination sequence T7 for Zeolite Code CON.at n=17A009874
- Numbers k such that C(k,3) = C(x,3) + C(y,3) is solvable.at n=21A010330
- a(n) = floor(binomial(n,3)/3).at n=23A011849
- a(n) = ((n+1)-st Fibonacci number) - (n-th non-Fibonacci number).at n=13A014241