Properties of the Number 27105

Twenty-Seven Thousand One Hundred Five

Basics

Value: 27104 → 27105 → 27106

Parity: odd

Prime: No

Previous Prime: 27103

Next Prime: 27107

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 13 × 139

Divisors: 1, 3, 5, 13, 15, 39, 65, 139, 195, 417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111100001

Octal: 64741

Duodecimal: 13829

Hexadecimal: 69e1

Square: 734681025

Square Root: 164.6359620496081

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

Self-convolution 5th power of A113671, where a(n) = A113671(n+1)/(n+1). A113665

Number of Lyndon compositions of n that are not weakly increasing. A329141

Numbers of the form m = p1·p2·p3·p4 where for each d∣m we have (d+m/d)/2 prime and p1 < p2 < p3 < p4 each prime. A128285

a(n) = ∑_k=0..n binomial(n,k) * binomial(4·k,k). A359643

a(n) = 56·n² + 1. A158660

11-gonal numbers which are products of four distinct primes. A354086

Main diagonal of polygonal lucky array defined in A128511. A128947

Numbers n such that n contains exactly 5 digits, all distinct, and n² contains exactly 9 distinct digits. A204691

a(n) = ∑_k=0..n-1 T(n,k) * T(n,2n-k), with T given by A027082. A27105