Properties of the Number 90057

Ninety Thousand Fifty-Seven

Basics

Value: 90056 → 90057 → 90058

Parity: odd

Prime: No

Previous Prime: 90053

Next Prime: 90059

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 2729

Divisors: 1, 3, 11, 33, 2729, 8187, 30019, 90057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10101111111001001

Octal: 257711

Duodecimal: 44149

Hexadecimal: 15fc9

Square: 8110263249

Square Root: 300.09498496309465

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood. A280835

Expansion of ∏_m>=1 (1 + m·q^m)⁵. A22633

Euler or up/down numbers: e.g.f. sec(x) + tan(x). Also for n >= 2, half the number of alternating permutations on n letters (A001250). A111

Number of partitions of n into nonsquares. A87153

Number of self-dual binary codes of length 2n (up to column permutation equivalence). A3179

Boustrophedon version of triangle of Euler-Bernoulli or Entringer numbers read by rows. A8280

Minimal length of a sequence with terms from {1, 2, 3, ..., n} which contains, as a subsequence, each possible ordering of the n symbols 1, 2, 3, ..., n. A62714

Total number of (indecomposable or decomposable) Type II binary self-dual codes of length 8n. A106163

Define a "piece" to consist of 3 mutually touching pennies welded together to form a triangle; sequence gives side lengths of triangles that can be made from such pieces. A72065

Triangle read by rows: this is a variant of A008280 in which 2 rows go from left to right, 2 from right to left, 2 from left to right, etc. A58257