15360
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 44
- Divisor Sum
- 49128
- Proper Divisor Sum (Aliquot Sum)
- 33768
- 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
- 30
- Omega Function (Ω)
- 12
- 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
- 27
- 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
- a(n) = binomial(n,3)*2^(n-3).at n=7A001789
- Number of strongly asymmetric sequences of length n.at n=9A002842
- Smallest number with 2n divisors.at n=21A003680
- Theta series of laminated lattice LAMBDA_11^{max}.at n=5A006911
- The minimal numbers: sequence A005179 arranged in increasing order.at n=42A007416
- Number of points of L1 norm 2n in root system version of E_8 lattice.at n=7A010369
- Denominators in the Taylor expansion exp(cosec(x)-cot(x))=1 + x/2 + x^2/8 + x^3/16 + 3*x^4/128 + 37*x^5/3840 + 59*x^6/15360 + ...at n=6A013516
- Triangle of coefficients in expansion of (1+2*x)^n.at n=62A013609
- Theta series of lattice Kappa_7.at n=25A015236
- Fibonacci sequence beginning 1, 9.at n=17A022099
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=40A029447
- Number of symmetrically inequivalent coincidence rotations of index 2n-1 in lattice D_4.at n=37A031360
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 61.at n=37A031559
- Number of labeled Abelian groups of order n.at n=7A034382
- Sorted elements of table (A035002) of a(m,n) = sum(a(m-k,n), k=1..m-1)+sum(a(m,n-k), k=1..n-1).at n=40A035001
- Duplicate of A010369.at n=7A035880
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j).at n=58A038207
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*4^j.at n=25A038210
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*8^j.at n=23A038214
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*2^j.at n=23A038232