11520
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 54
- Divisor Sum
- 39858
- Proper Divisor Sum (Aliquot Sum)
- 28338
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 11
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 24
- 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
- Number of ways of writing n as a sum of 6 squares.at n=33A000141
- Number of h-cobordism classes of smooth homotopy n-spheres.at n=44A001676
- a(n) = n*(n+1)*2^(n-2).at n=9A001788
- Denominator of (2/Pi)*Integral_{0..inf} (sin x / x)^n dx.at n=6A002298
- Denominators of coefficients in Taylor series expansion of log(1+x)^2/sqrt(1+x).at n=6A002552
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=40A003600
- Bishops on an n X n board (see Robinson paper for details).at n=13A005633
- Number of Twopins positions.at n=18A005684
- Triangle of coefficients in expansion of (1+2*x)^n.at n=63A013609
- a(n) = n! * C(n+2, 2) * 2^(n+1).at n=4A014297
- Number of divisors of A019505(n).at n=50A020697
- E.g.f.: sin(log(1+x))*log(1+x)/2.at n=9A024332
- Theta series of 6-dimensional lattice of det 8.at n=41A029543
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=30A031551
- a(n) = 5*n^2.at n=48A033429
- Highly factorable numbers: numbers with a record number of proper factorizations.at n=33A033833
- Maximal value of d(x) (the number of divisors of x, A000005) if the binary order (see A029837) of x, the value g(x) = n.at n=44A036451
- Positive numbers having the same set of digits in base 6 and base 10.at n=31A037437
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j).at n=57A038207
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*12^j (with i, j >= 0).at n=17A038218