920
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2160
- Proper Divisor Sum (Aliquot Sum)
- 1240
- 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
- 352
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- Smith 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
Names
- German
- neunhundertzwanzig· ordinal: neunhundertzwanzigste
- English
- nine hundred twenty· ordinal: nine hundred twentieth
- Spanish
- novecientos veinte· ordinal: 920º
- French
- neuf cent vingt· ordinal: neuf cent vingtième
- Italian
- novecentoventi· ordinal: 920º
- Latin
- nongenti viginti· ordinal: 920.
- Portuguese
- novecentos e vinte· ordinal: 920º
Appears in sequences
- Coefficients of the 3rd-order mock theta function f(q).at n=55A000025
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=27A000199
- Alkyl naphthalenes C_{n+10} H_{2n+8} with n+10 carbon atoms.at n=6A000647
- Numbers beginning with letter 'n' in English.at n=32A000981
- Number of partitions of n into at most 4 parts.at n=46A001400
- Expansion of 1/((1+x)*(1-x)^9).at n=5A001780
- Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible).at n=13A001977
- Number of partitions of 3n-1 into n nonnegative integers each no more than 6.at n=13A001978
- a(n) = 2n*a(n-1) - (n-1)^2*a(n-2).at n=5A002793
- Symmetries in unrooted (1,3) trees on 2n vertices.at n=9A003610
- Representation degeneracies for Neveu-Schwarz strings.at n=12A005297
- Josephus problem: numbers m such that, when m people are arranged on a circle and numbered 1 through m, the final survivor when we remove every 4th person is one of the first three people.at n=18A005427
- Truncated cube numbers.at n=3A005912
- a(n) = n*(n+1)*(n+8)/6.at n=15A006503
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=98A006509
- Number of n-node vertex-transitive graphs which are not Cayley graphs.at n=24A006792
- a(n) = Sum_{m=0..n} (Sum_{k=0..m} binomial(n,k))^3 = (n+2)*2^(3*n-1) - 3*2^(n-2)*n*binomial(2*n,n).at n=3A007403
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=22A008083
- Coordination sequence T2 for Zeolite Code ERI.at n=22A008094
- Multiples of 20.at n=46A008602