Properties of the Number 27180

Twenty-Seven Thousand One Hundred Eighty

Basics

Value: 27179 → 27180 → 27181

Parity: even

Prime: No

Previous Prime: 27179

Next Prime: 27191

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 151

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000101100

Octal: 65054

Duodecimal: 13890

Hexadecimal: 6a2c

Square: 738752400

Square Root: 164.86357996840903

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

Numbers n such that n·5ⁿ - 1 is prime. A59676

Triangular array: Row n shows the coefficients of polynomials p(n,x) defined in Comments. A249057

Expansion of (1 - t)*(1 + t)^x. A227342

Numbers k such that there is a primitive Pythagorean triple with perimeter k and inradius r such that p + r, p - r, p + r² and |p - r²| are all prime. A392988

The number of functions in a finite set that are not obtainable by a composition power of any other function. Similar to A163947, but it excludes self compositions. A163949

Potential magic constants of a 10 X 10 magic square composed of consecutive primes. A192087

The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference. A224466

Smallest number k such that prime(n) divides the n-th divisor of k. A226101

Number of Sós permutations of {0,1,...,n}. A330503

E.g.f. satisfies A(x) = 1/(1 - x)^3·A(x^(1/3)). A375879