Properties of the Number 88920

Eighty-Eight Thousand Nine Hundred Twenty

Basics

Value: 88919 → 88920 → 88921

Parity: even

Prime: No

Previous Prime: 88919

Next Prime: 88937

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 13 × 19

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101101101011000

Octal: 255530

Duodecimal: 43560

Hexadecimal: 15b58

Square: 7906766400

Square Root: 298.19456735494026

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

Heinz numbers of integer partitions with the same number of even parts, odd parts, even conjugate parts, and odd conjugate parts. A350947

Sum T(n,k) of the k-th entries in all cycles of all permutations of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A285793

Number of nonintersecting (or self-avoiding) knight paths joining opposite corners of an n X n grid. A212715

Numbers with prime factorization p·q*r·s²*t³ (where p, q, r, s, t are distinct primes). A190111

Expansion of e.g.f. (1 + x + x²)^x. A191422

Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y>3z. A212522

Numbers k such that σ(k) - usigma(k) is a square and sets a new record for such squares. A63840

Numbers k such that binomial(k²,k) == 0 (mod k³). A371474

Solutions k to the Diophantine equation k = 2n² = m²+1. A88920