16320
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 56
- Divisor Sum
- 54864
- Proper Divisor Sum (Aliquot Sum)
- 38544
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 9
- Little Omega Function (ω)
- 4
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
- 53
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing n as a sum of 10 squares.at n=6A000144
- Number of multigraphs with 4 nodes and n edges.at n=31A003082
- Theta series of {D_10}^{+} lattice.at n=12A004532
- a(n) = n^2*(n^2 - 1)/4.at n=16A006011
- Denominator of B_{2n}/(-4n), where B_m are the Bernoulli numbers.at n=8A006863
- a(n) = denominator of Bernoulli(2n)/(2n).at n=15A006953
- Theta series of {D_10}* lattice.at n=12A008426
- Theta series of D_10 lattice.at n=3A008432
- a(n) = 15*(n+1)*binomial(n+2,15)/2.at n=2A027788
- a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).at n=34A028723
- Eisenstein series E_16(q) (alternate convention E_8(q)), multiplied by 3617.at n=1A029829
- Number of 3-component Carmichael numbers C = (6M + 1)(12M + 1)(18M + 1) < 10^n.at n=20A036060
- Write cosec x = 1/x + Sum e_n x^(2n-1)/(2n-1)!; sequence gives denominators of e_n.at n=31A036283
- Theta series for 10-dimensional 4-modular lattice Q10 with minimal norm 4.at n=6A037219
- Numbers whose base-5 representation has exactly 7 runs.at n=28A043607
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=19A045080
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=35A050027
- a(n) = n*(n+1)*(n+2)*(n^2+7*n+32)/120.at n=15A051747
- Cusp form of weight 13/2 associated to the unique cusp form of weight 12 under Shimura correspondence.at n=40A054891
- Number of square divisors of n!.at n=34A055993