Properties of the Number 27170

Twenty-Seven Thousand One Hundred Seventy

Basics

Value: 27169 → 27170 → 27171

Parity: even

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 11 × 13 × 19

Divisors: 1, 2, 5, 10, 11, 13, 19, 22, 26, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101000100010

Octal: 65042

Duodecimal: 13882

Hexadecimal: 6a22

Square: 738208900

Square Root: 164.83324907311632

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

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally. A189196

Number of 11-regular partitions of n (no part is a multiple of 11). A328545

Numbers n such that σ(n) = 7*φ(n). A136540

a(n) = n*(n + 7)*(n + 14)*(n + 21)/24. A264447

Total number of parts coprime to n in the partitions of n into 7 parts. A363325

a(n) = ∑_{i=0..floor(n/2)} T(i,n-i), array T as in A047072. A47074

Squarefree balanced numbers (i.e., squarefree members of A020492). A78557

Take a <= b such that f(a)+f(b)=concatenation of a and b, where f(k)=k(k+3)/2 (A000096). Sequence gives values of b. A99149

a(n) = (-1)ⁿ*(2·n - 1)*CatalanNumber(n - 2) for n >= 2, a(n) = n for n = 0, 1. A78718

Number of prime pairs below 10ⁿ having a difference of 24. A93747