2160
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 7440
- Proper Divisor Sum (Aliquot Sum)
- 5280
- 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
- 576
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- 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
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 45
- Smith Number
- no
- Vampire 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=29A000082
- Generalized tangent numbers d_(n,2).at n=8A000176
- Expansion of 1/((1+x)*(1-x)^5).at n=15A001752
- Coefficients of Legendre polynomials.at n=2A001799
- Expansion of a modular function for Gamma_0(6).at n=11A002508
- Denominators of coefficients of Green function for cubic lattice.at n=3A003298
- Number of Hamiltonian paths in K_3 X P_n.at n=4A003689
- Theta series of E_6 lattice.at n=5A004007
- Expansion of Eisenstein series E_4(q) (alternate convention E_2(q)); theta series of E_8 lattice.at n=2A004009
- Theta series of {E_6}* lattice.at n=11A005129
- Theta series of {E_6}* lattice.at n=15A005129
- Determinant of inverse Hilbert matrix.at n=3A005249
- Fermionic string states.at n=13A005309
- a(n) = A259095(2n,n).at n=16A005575
- Number of paraffins.at n=9A006009
- Maximally extended polygons of length 2n on cubic lattice.at n=3A006783
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=42A007332
- Smallest k such that sigma(x) = k has exactly n solutions.at n=20A007368
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=32A008000
- Coordination sequence T4 for Zeolite Code BOG.at n=33A008052