11440
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 31248
- Proper Divisor Sum (Aliquot Sum)
- 19808
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 1430
- 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
- 29
- 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
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=32A000330
- a(n) = binomial coefficient C(n,7).at n=9A000580
- a(n) = binomial coefficient C(n,9).at n=7A000582
- a(n) = binomial coefficient C(2n, n-1).at n=8A001791
- Degrees of irreducible representations of alternating group A_13.at n=46A003868
- Degrees of irreducible representations of symmetric group S_13.at n=83A003877
- Degrees of irreducible representations of symmetric group S_13.at n=82A003877
- a(n) = (n-1)*n*(n+4)/6.at n=40A005581
- Quadrinomial coefficients.at n=10A005720
- Valence of graph of maximal intersecting families of sets.at n=15A007007
- Expansion of (1-x^10) / (1-x)^10.at n=7A008492
- 8-dimensional centered tetrahedral numbers.at n=7A008502
- Triangle of central factorial numbers T(2*n,2*n-2*k), k >= 0, n >= 1 (in Riordan's notation).at n=24A008957
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=27A010819
- Expansion of Product_{k>=1} (1 - x^k)^13.at n=18A010820
- Binomial coefficient C(16,n).at n=9A010932
- Binomial coefficient C(16,n).at n=7A010932
- Triangular array formed from elements to right of middle of rows of Pascal's triangle that are not 1.at n=49A014411
- Triangular array formed from elements to left of middle of rows of Pascal's triangle that are not 1.at n=55A014463
- Triangular array formed from even elements to right of middle of rows of Pascal's triangle.at n=24A014476