Properties of the Number 99820

Ninety-Nine Thousand Eight Hundred Twenty

Basics

Value: 99819 → 99820 → 99821

Parity: even

Prime: No

Previous Prime: 99817

Next Prime: 99823

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 7 × 23 × 31

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 23, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010111101100

Octal: 302754

Duodecimal: 49924

Hexadecimal: 185ec

Square: 9964032400

Square Root: 315.9430328397827

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

Maximal coefficient of ∏_k<=n (1 + x^k). Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or 1. A25591

Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0. A63865

Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or +- 1. A63867

Largest coefficient in expansion of ∏_i=1..n (1 + (-q)ⁱ). A39828

A063865(4n-3). A123117

Number of (n+4)X8 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186604

Number of (n+4)X12 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186608

Number of maximal matchings in the n-dipyramidal graph. A297064

T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186609

Even nonnegative integers in base 2 (bisection of A007088). A99820