Properties of the Number 90720

Ninety Thousand Seven Hundred Twenty

Basics

Value: 90719 → 90720 → 90721

Parity: even

Prime: No

Previous Prime: 90709

Next Prime: 90731

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ⁴ × 5 × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110001001100000

Octal: 261140

Duodecimal: 44600

Hexadecimal: 16260

Square: 8230118400

Square Root: 301.1976095522672

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

Number T(n,k) of n-length words w over a k-ary alphabet {a1, a2, ..., ak} such that #(w,a1) >= #(w,a2) >= ... >= #(w,ak) >= 1, where #(w,x) counts the letters·in word w; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. A226874

Coefficient triangle of generalized Laguerre polynomials n!*L(n,3,x) (rising powers of x). A62137

Lower triangular matrix T(n,j) for double application of an iterated mixed order Laguerre transform inverse to A132014. Coefficients of Laguerre polynomials (-1)ⁿ * n! * L(n,-2-n,x). A132159

Number of degree-n even permutations of order exactly 10. A61135

Filter-sequence for Stern polynomials: Least number with the same prime signature as A260443(n). A278243

Array read by antidiagonals: A(n,k) = (k+1)ⁿ*(n+k)!/n!. A152818

Distinct terms of A301413 in ascending order: terms k in A301413 that have at least one number m such that k·A002110(m) is a highly composite number (A002182) with m distinct prime factors. A301414

Number of possible rook moves on an n X n chessboard. A35006

a(n) = total number of occurrences of the consecutive pattern 1324 in all permutations of [n+3]. A61206

Numbers k such that σ(k) > 4·k. A68404