160
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 378
- Proper Divisor Sum (Aliquot Sum)
- 218
- 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
- 64
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 10
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertsechzig· ordinal: einshundertsechzigste
- English
- one hundred sixty· ordinal: one hundred sixtieth
- Spanish
- ciento sesenta· ordinal: 160º
- French
- cent soixante· ordinal: cent soixantième
- Italian
- centosessanta· ordinal: 160º
- Latin
- centum sexaginta· ordinal: 160.
- Portuguese
- cento e sessenta· ordinal: 160º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=37A000008
- Numbers k such that (2k)^4 + 1 is prime.at n=44A000059
- Generalized tangent numbers d(n,1).at n=51A000061
- Generalized tangent numbers d(n,1).at n=55A000061
- Numbers k such that k^4 + 1 is prime.at n=24A000068
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=19A000118
- Number of ways of writing n as a sum of 6 squares.at n=3A000141
- Number of plane partitions (or planar partitions) of n.at n=8A000219
- 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); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=13A000223
- Number of ways to pair up {1^2, 2^2, ..., (2n)^2 } so sum of each pair is prime.at n=7A000348
- Numbers that are the sum of 2 nonzero squares.at n=54A000404
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=52A000415
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=14A000511
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=22A000549
- Number of triangular polyominoes (or triangular polyforms, or polyiamonds) with n cells (turning over is allowed, holes are allowed, must be connected along edges).at n=8A000577
- Number of switching networks (see Harrison reference for precise definition).at n=1A000811
- Number of twin prime pairs < square of n-th prime.at n=22A000885
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=41A001066
- Numbers k such that k! - (k-1)! + (k-2)! - (k-3)! + ... - (-1)^k*1! is prime.at n=13A001272
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=41A001283