Properties of the Number 27178

Twenty-Seven Thousand One Hundred Seventy-Eight

Basics

Value: 27177 → 27178 → 27179

Parity: even

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 107 × 127

Divisors: 1, 2, 107, 127, 214, 254, 13589, 27178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000101010

Octal: 65052

Duodecimal: 1388A

Hexadecimal: 6a2a

Square: 738643684

Square Root: 164.85751423577878

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

Number of partitions of n such that (least part) < (multiplicity of greatest part). A240178

Number of partitions of 2n such that (sum of parts having multiplicity 1) = sum of all other parts. A240447

The smallest k >= 0 that can be represented as a linear combination of 1², 2², ..., n² with coefficients +-1 and that cannot be represented using 1², 2², ..., m² with 1<=m<n. A392127

Triangle read by rows in which each row is the inverse binomial transform of a diagonal of A089246. A89302

exp(arctan(x)*sin(x))=1+2/2!*x²-50/6!*x⁶+56/8!*x⁸+27178/10!*x¹⁰... A12420

Smallest number m such that ∑_k=1..m 1/prime(k) >= n/5. A103597

Number of n X n binary matrices containing no more than two 1s in any 3 X 3 sub-block. A140305

a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027170. A27178