Properties of the Number 27968

Twenty-Seven Thousand Nine Hundred Sixty-Eight

Basics

Value: 27967 → 27968 → 27969

Parity: even

Prime: No

Previous Prime: 27967

Next Prime: 27983

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 19 × 23

Divisors: 1, 2, 4, 8, 16, 19, 23, 32, 38, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110101000000

Octal: 66500

Duodecimal: 14228

Hexadecimal: 6d40

Square: 782209024

Square Root: 167.236359682935

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 2^k - 23 is prime. A57220

Numbers which are representable as a sum of nineteen but no fewer consecutive nonnegative integers. A270303

Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(0,5) < cn(2,5) = cn(3,5). A36885

Least k such that the first k terms of A006928 contain n more 2's than 1's. A25507

The number of down-up permutations of [n] where adjacent elements differ by at least 3. A249390

Indices in A006928 where the imbalance between 1's and 2's sets a new record. A274775

a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ). A11937

Second smallest multiple of n whose digits sum to n. A245065

Sum{T(i,n-i): i=0,1,...,n}, array T given by A047010. A47011

a(n) = T(n, 2·n-6), T given by A027960. A27968