12800
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 31713
- Proper Divisor Sum (Aliquot Sum)
- 18913
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 11
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers of the form 2^i*5^j with i, j >= 0.at n=50A003592
- Theta series of P_{11a} packing.at n=5A005953
- Row 4 of array in A212801.at n=3A006240
- Number of 2n-bead black-white strings with n black beads and fundamental period 2n.at n=8A007727
- Theta series of lattice Kappa_7.at n=23A015236
- Numbers of form 2^i*10^j, with i, j >= 0.at n=37A025612
- Numbers of form 5^i*8^j, with i, j >= 0.at n=18A025623
- Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.at n=37A028579
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 21 (most significant digit on left).at n=11A029490
- Theta series of 6-dimensional lattice of det 8.at n=42A029543
- Number of symmetrically inequivalent coincidence rotations of icosian ring of index n.at n=78A031366
- 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 55.at n=38A031553
- Numbers k whose decimal representation, read as a base-20 value and divided by k, yields an integer.at n=45A032571
- Numbers whose prime factors are 2 and 5.at n=31A033846
- Dirichlet convolution of squares with themselves.at n=39A034714
- Coordination sequence for lattice D*_80 (with edges defined by l_1 norm = 1).at n=2A035825
- Coordination sequence for diamond structure D^+_80. (Edges defined by l_1 norm = 1.)at n=2A035916
- Composite numbers whose prime factors contain no digits other than 2 and 5.at n=47A036311
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*10^j.at n=16A038240
- Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*4^j.at n=19A038306