10920
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 29400
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 2730
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 5
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
- yes
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 16
- 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
- a(n+1) = (n-1)*a(n) + n*n!.at n=5A006157
- Triangle of coefficients in expansion of D^n (sec x) / sec x in powers of tan x.at n=18A008294
- Area of more than one Pythagorean triangle.at n=12A009127
- a(n) = floor(n*(n-1)*(n-2)/24).at n=65A011842
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=11A020696
- Theta series of A_15 lattice.at n=2A023906
- a(n) = (prime(n+2)^2 - 1)/3.at n=39A024700
- Denominators of poly-Bernoulli numbers B_n^(k) with k=2.at n=13A027644
- Denominators of poly-Bernoulli numbers B_n^(k) with k=2.at n=25A027644
- a(n) = n*(n+1)*(n+2)*(n+3)/4.at n=13A033487
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=29A033829
- Least number of Sort-then-add persistence n.at n=38A033863
- Least number of Sort-then-add persistence n.at n=38A033908
- Products of successive Fibonacci numbers.at n=35A034722
- a(n) = LCM of Fibonacci sequence {F_1,...,F_n}.at n=7A035105
- Distinct even numbers in writing first numerator and then denominator of each element of the 1/4-Pascal triangle (by row).at n=11A046589
- Numbers that divide the sum of cubes of their divisors.at n=36A046763
- Number of 2-colored generalized Frobenius partitions.at n=15A051136
- Numbers that are divisible by exactly 5 different primes.at n=38A051270
- a(n) = LCM { sigma(1), ..., sigma(n) }.at n=9A051549