11160
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
- 48
- Divisor Sum
- 37440
- Proper Divisor Sum (Aliquot Sum)
- 26280
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 930
- Omega Function (Ω)
- 7
- 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
- 130
- 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 irreducible polynomials of degree n over GF(5); dimensions of free Lie algebras.at n=7A001692
- Weight distribution of [64,42,8] 3rd-order Reed-Muller code of length 64.at n=4A001727
- a(n) = n*(11*n+1)/2.at n=45A022269
- Expansion of 1/((1-2*x)*(1-4*x)(1-8*x)(1-16*x)).at n=3A028258
- Doubles (index 2+) under "BHJ" (reversible, identity, labeled) transform.at n=4A032084
- Numbers k whose decimal representation, read as a base-22 value and divided by k, yields an integer.at n=21A032575
- Product_{k>=1} 1/(1 - x^k)^a(k) = 1 + 5x.at n=6A038066
- Product_{k>=1} (1+x^k)^a(k) = 1 + 5x.at n=6A038070
- Triangle T(n,m)= Sum_{i=0..n} L'(n,i)*Product_{j=1..m} (i-j+1), read by rows.at n=25A059114
- Table T(n,k) by antidiagonals of floor(n^k/k) [n,k >= 1].at n=59A060155
- a(n) = n*(n+1)*(n^2 - 3*n + 6)/4.at n=15A062026
- When expressed in base 3 and then interpreted in base 8, is a multiple of the original number.at n=40A062889
- a(n) = 12*n*(n-1).at n=31A064200
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=18A065255
- a(n) = A062401(A065391(n)): phi(sigma(m)) peak values for numbers m (listed in A065391) at which those peaks are first reached.at n=20A065392
- Numbers n such that sigma(n)/phi(n) is prime.at n=26A067780
- a(n) = Sum_{r|n, s|n, t|n, r<s<t} r*s*t.at n=31A067817
- First differences of A069475, successive differences of (n+1)^6-n^6.at n=13A069476
- Table T(n,k) read by downward antidiagonals: number of Lyndon words (aperiodic necklaces) with n beads of k colors, n >= 1, k >= 1.at n=61A074650
- Table T(n,k) by antidiagonals: T(n,k) = number of partitions of n balls of k colors.at n=50A075196