10240
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
- 24
- Divisor Sum
- 24570
- Proper Divisor Sum (Aliquot Sum)
- 14330
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 12
- 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
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=52A000549
- a(n) = 10*4^n.at n=5A002066
- Denominators of Taylor series expansion of arcsin(x). Also arises from arccos(x), arccsc(x), arcsec(x), arcsinh(x).at n=7A002595
- Numbers of the form 2^i*5^j with i, j >= 0.at n=48A003592
- Numbers that are the sum of 10 positive 10th powers.at n=10A004810
- Numbers that are the sum of 5 positive 11th powers.at n=5A004816
- Numbers that are the sum of at most 5 positive 11th powers.at n=20A004911
- Numbers that are the sum of at most 6 positive 11th powers.at n=25A004912
- Numbers that are the sum of at most 7 positive 11th powers.at n=30A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=35A004914
- Number of Costas arrays of order n, counting rotations and flips as distinct.at n=18A008404
- Theta series of {D_10}* lattice.at n=9A008426
- Triangle of coefficients in expansion of (1+8x)^n.at n=24A013615
- a(n) = 5 * 2^n.at n=11A020714
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=6A023075
- Numbers of form 2^i*10^j, with i, j >= 0.at n=36A025612
- Numbers of form 4^i*10^j, with i, j >= 0.at n=19A025621
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=29A028701
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=35A029447
- Expansion of (1 + 2x + 6x^2 + x^3)/(1 - 2x^2).at n=25A029745