Properties of the Number 27378

Twenty-Seven Thousand Three Hundred Seventy-Eight

Basics

Value: 27377 → 27378 → 27379

Parity: even

Prime: No

Previous Prime: 27367

Next Prime: 27397

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 13 ²

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011110010

Octal: 65362

Duodecimal: 13A16

Hexadecimal: 6af2

Square: 749554884

Square Root: 165.46298679765212

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

a(n) = 18·n². A195321

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order. A204398

Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n). A5718

Row sums in A083167. A83170

Expansion of exp( ∑_n>=1 -σ(9·n)*xⁿ/n ) in powers of x. A283169

Number of 2n-step self-avoiding cycles on the Laves graph. A344071

Convolution of sequence of primes with sequence σ(n). A86718

Number of partitions of n*(n-1)/2 into at most four parts. A274099

Triples of practical numbers: numbers n such that n-2, n, n+2 are all practical numbers. A287682

a(n) is the number of integer triples (x,y,z) satisfying a system of linear inequalities and congruences specified in the comments. A370349