1890
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 3870
- 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
- 432
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- 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
- 37
- 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=37A000064
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=26A000092
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=52A000969
- Number of square permutations of n elements.at n=7A003483
- Number of nonseparable tree-rooted planar maps with n + 2 edges and 3 vertices.at n=6A006411
- Denominators of expansion of exp x / sin x.at n=6A007451
- Coordination sequence T1 for Zeolite Code MEL.at n=28A008150
- Triangle T(n,k) of rencontres numbers (number of permutations of n elements with k fixed points).at n=61A008290
- Triangle of rencontres numbers.at n=42A008291
- Year of birth of n-th President of U.S.A.at n=33A008745
- Areas of Pythagorean triangles: numbers which can be the area of a right triangle with integer sides.at n=50A009112
- Area of more than one Pythagorean triangle.at n=3A009127
- Numbers k where A011776(k) grows.at n=26A011778
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=39A011911
- a(n) = n*(2*n + 3).at n=30A014106
- Apply partial sum operator 4 times to partition numbers.at n=9A014161
- Numbers k such that s(j) < s(k) for all j < k, where s = A014405.at n=59A014407
- Expansion of 1/(1-x^5-x^6-x^7-x^8).at n=43A017839
- a(n) is the concatenation of n and 5n.at n=17A019553
- Coordination sequence T1 for Zeolite Code SAO.at n=34A019571