Properties of the Number 9920

Nine Thousand Nine Hundred Twenty

Basics

Value: 9919 → 9920 → 9921

Parity: even

Prime: No

Previous Prime: 9907

Next Prime: 9923

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 5 × 31

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 31, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011000000

Octal: 23300

Duodecimal: 58A8

Hexadecimal: 26c0

Square: 98406400

Square Root: 99.59919678390986

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

Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1. A125

a(n) = 2·binomial(n,3). A7290

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nXk array. A219828

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having exactly k blocks that contain both odd and even entries (0<=k<=floor(n/2)). A124418

Products of the 6th power of a prime and 2 distinct primes (p⁶*q·r). A179672

Values of n such that there are exactly 10 solutions to x² - y² = n with x > y >= 0. A257417

1/3 of product of three numbers: the n-th prime, the previous number and the following number. A127919

Hyper-Wiener index of a benzenoid consisting of a zig-zag chain of n hexagons (s=13; see the Gutman et al. reference). A193394

Triangle read by rows: T(n,k) is the number of diagonalizable n X n matrices over GF(2) that have rank k, n >= 0, 0 <= k <= n. A296548

Numbers with 28 divisors. A137491