2240
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 6096
- Proper Divisor Sum (Aliquot Sum)
- 3856
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 768
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
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
- 19
- 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
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=39A000064
- Number of asymmetrical dissections of n-gon.at n=6A000131
- Number of ways of writing n as a sum of 5 squares.at n=27A000132
- n-phi-torial, or phi-torial of n: Product k, 1 <= k <= n, k relatively prime to n.at n=8A001783
- Bisection of A002470.at n=15A002287
- Glaisher's function W(n).at n=30A002470
- Theta series of 28-dimensional unimodular lattice with no roots and with no parity vector of norm 4.at n=3A002520
- Weight distribution of [ 28,14,9 ] ternary self-dual code.at n=9A002521
- Glaisher's function G(n) (18 squares version).at n=7A002609
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=27A003451
- Number of spanning trees in S_4 X P_n.at n=2A003755
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=30A006584
- Number of irreducible words of length 2n in the free group with generators x,y such that the total degree of x and the total degree of y both equal zero.at n=5A007987
- Coordination sequence T2 for Zeolite Code AHT.at n=32A009867
- Numbers k where A011776(k) grows.at n=29A011778
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=16A011934
- arctanh(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+248/5!*x^5...at n=6A012324
- sin(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...at n=3A013370
- arcsinh(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...at n=4A013374
- Expansion of e.g.f.: exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9...at n=9A013416