Properties of the Number -9920

Nine Hundred Twenty

Basics

Value: -9921 → -9920 → -9919

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/4. A279678

Coefficient of xⁿ in 1/(n+1) * (1 - 2·x - 2·x²)ⁿ⁺¹. A307969

Expansion of e.g.f. sin(x)*sin(tanh(x)) (even powers only). A9549

∑_k=1..2n-1 J(4·n,k)*k², where J(i,j) is the Jacobi symbol. A97544

Sequence arising from study of multiplicative complexity of symmetric functions over a field with characteristic p. A250109

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