Properties of the Number 27408

Twenty-Seven Thousand Four Hundred Eight

Basics

Value: 27407 → 27408 → 27409

Parity: even

Prime: No

Previous Prime: 27407

Next Prime: 27409

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 571

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101100010000

Octal: 65420

Duodecimal: 13A40

Hexadecimal: 6b10

Square: 751198464

Square Root: 165.553616692599

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 k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k). A112818

Expansion of g.f.: (1 + x + x²)/(1 - 2·x - 2·x²). A121907

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases. A205823

a(n) is the determinant of the 2 X 2 matrix whose entries (when read by rows) are the n-th primes congruent to 1, 3, 5, 7 mod 8 respectively. A337145

Nonnegative integers k such that the Euclidean distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393331

Nonnegative integers k such that the Manhattan distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393332

Number of cycles in all cycle-up-down permutations of {1,2,...,n}. A permutation is said to be cycle-up-down if it is a product of up-down cycles. A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1)<b(2)>b(3)<... . A186367

Expansion of (1+x) / (1-2·x-6·x²). A384711

Number of ways to partition n elements into pie slices of different sizes of at least 2 allowing the pie to be turned over. A32230

a(n) = digit reversal of A103741(n). A103763