Properties of the Number 26820

Twenty-Six Thousand Eight Hundred Twenty

Basics

Value: 26819 → 26820 → 26821

Parity: even

Prime: No

Previous Prime: 26813

Next Prime: 26821

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 149

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100011000100

Octal: 64304

Duodecimal: 13630

Hexadecimal: 68c4

Square: 719312400

Square Root: 163.76812876747417

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

Expansion of 1/(1 - x - x² + x⁶ - x⁸). A225393

Numbers k such that 4·k-1, 8·k-1, 16·k-1 and 32·k-1 are all primes. A101794

Numbers k such that σ(k) AND 3·k = 3·k, where AND is bitwise-and, A004198. A388022

Numbers n for which 2n-1, 4n-1, 8n-1, 16n-1 and 32n-1 are primes. A124017

Numbers k for which 2·k-1, 4·k-1, 8·k-1 and 16·k-1 are primes. A124494

Triangle, read by rows, equal to the matrix cube of triangle A113389. A113394

Numbers m = ∑_k=1..n σ(k) such that ∑_k=1..n σ(k) is divisible by k. A168133

The 3rd Hermite Polynomial evaluated at n: H₃(n) = 8·n³ - 12·n. A163322

Expansion of ∏_k>=1 (1 - x^5·k)^5·k / (1 - x^k)^k. A285246

Primitive terms of A388022: numbers k that satisfy σ(k) AND 3·k = 3·k, but none of whose proper divisors satisfy the same condition. A388025