12240
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 43524
- Proper Divisor Sum (Aliquot Sum)
- 31284
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 8
- 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
- 50
- 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
- Theta series of E_6 lattice.at n=13A004007
- Theta series of {E_6}* lattice.at n=39A005129
- Expansion of log(1+tan(tan(x))).at n=7A009366
- arctanh(tan(tan(x)))=x+6/3!*x^3+176/5!*x^5+12240/7!*x^7...at n=3A012152
- Expansion of e.g.f. arctan(sin(x)*exp(x)).at n=9A012290
- a(n) = n*(n+1)*(n+2)*(n+3)/6.at n=15A033488
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=45A033580
- Base 8 digital convolution sequence.at n=10A033645
- Reverse and add (in binary) - written in base 10.at n=17A035522
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=9A036458
- Reduced denominators of the coefficients in a series expansion for Gamma[x].at n=14A054380
- A060448 sorted and duplicates removed.at n=25A060636
- Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.at n=47A062923
- Number of atoms in first n shells of type I hyperfullerene.at n=8A063497
- Numbers k such that sigma(k) - usigma(k) > 2k.at n=30A063846
- Numbers m such that m*tau(m)>5*prime(m).at n=29A068547
- Nonsquares which are the product of two numbers with the same digits (leading zeros are forbidden).at n=37A072443
- Sum of next n composite numbers.at n=26A072475
- One half of A075178.at n=15A075179
- Sum of divisors of (prime(n)+1)*(prime(n+1)+1)/4.at n=30A079089