16000
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 39780
- Proper Divisor Sum (Aliquot Sum)
- 23780
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6400
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 10
- 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
- 115
- 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
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=38A005996
- Coordination sequence for MgCu2, Mg position.at n=31A009931
- Triangle of coefficients in expansion of (4 + 5*x)^n.at n=17A013628
- Numbers of form 2^i*10^j, with i, j >= 0.at n=38A025612
- Numbers of form 4^i*10^j, with i, j >= 0.at n=20A025621
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 13 (most significant digit on right and removing all least significant zeros before concatenation).at n=14A029530
- 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 63.at n=28A031561
- Numbers k whose decimal representation, read as a base-20 value and divided by k, yields an integer.at n=48A032571
- a(n) = 2*n^3.at n=20A033431
- a(n) = 10*n^2.at n=40A033583
- Numbers whose prime factors are 2 and 5.at n=32A033846
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*10^j.at n=13A038240
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*4^j.at n=18A038246
- Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*4^j.at n=11A038306
- Number of sublattices of index n in generic 4-dimensional lattice.at n=20A038991
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=36A046314
- a(n)^3 is smallest cube containing exactly n 0's.at n=10A048365
- a(n)=2*a(n-1), except every tenth time you multiply by 1000/512 instead of by 2.at n=14A051535
- Numbers of the form 2^i*5^j where i+j is even.at n=26A054901
- a(n) = phi(n^3 + n^2 + n + 1).at n=32A066792