Properties of the Number 26728

Twenty-Six Thousand Seven Hundred Twenty-Eight

Basics

Value: 26727 → 26728 → 26729

Parity: even

Prime: No

Previous Prime: 26723

Next Prime: 26729

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 13 × 257

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 257, 514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100001101000

Octal: 64150

Duodecimal: 13574

Hexadecimal: 6868

Square: 714385984

Square Root: 163.48700254148645

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

"DHK[ 7 ]" (bracelet, identity, unlabeled, 7 parts) transform of 1,1,1,1,... A32248

Numbers k such that x=(σ(k) XOR 2·k) divides k in carryless binary arithmetic, when the binary expansions of k and·are interpreted as polynomials in ring GF(2)[X]. A379236

Numbers k such that 7·2^k - 3 is prime. A58593

Expansion of q^-1/3 * (η(q) * η(q⁹))² / η(q³)⁴ in powers of q. A192329

Expansion of (1 - x)^-2 * ∑_j>=0 (x^j / (1 - ∑_k=1..j x^k)). A369115

G.f.: ∑_n>=1 ∑_k=0..n binomial(n,k) * x^k² * (xⁿ - x^k)^n-k, ignoring the constant term. A292808

a(n) = number of primes of the form k*(n-k) + 1. A26728