10320
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 32736
- Proper Divisor Sum (Aliquot Sum)
- 22416
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 1290
- 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
- 104
- 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
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=15A023059
- Positive numbers k such that k and 3*k are anagrams in base 5 (written in base 5).at n=3A023062
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=37A029488
- Number of ways to place 3 nonattacking queens on an n X n board.at n=8A047659
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=30A054999
- Sum of decimal digits of square of divisors of n equals sum of square of digits of n.at n=38A067344
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=19A067374
- First differences of (n+1)^5-n^5.at n=7A068236
- a(n) = n*(n-1)*(n^2 + 2)/6.at n=16A071244
- a(n) = smallest number which can be expressed as sum of d consecutive primes in exactly n ways (where d>0 is a divisor of the number).at n=3A082636
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=38A090782
- a(1)=1; thereafter, a(n+1) = 20*n^3 + 10*n.at n=8A101098
- Triangle of coefficients of certain polynomials used with prime numbers as variables in the computation of the array A103728.at n=51A103718
- Column m=6 sequence of triangle A103718(n,m), n>=0.at n=3A103723
- Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n.at n=44A108576
- Coefficients for rewriting generalized falling factorials into ordinary falling factorials.at n=25A136656
- Number of positions that are exactly n moves from the starting position in the 2 X 2 X 2 Rubik cube puzzle using only one-way quarter moves.at n=9A152169
- a(n) = 250*n - 180.at n=42A154360
- Number of open knight's tour diagrams of a 3 X n chessboard that have "type F": the endpoints occur in different columns and agree in color with the cells in the nearest corner.at n=7A169771
- Numbers with 40 divisors.at n=37A175749