Properties of the Number 20679

Twenty Thousand Six Hundred Seventy-Nine

Basics

Value: 20678 → 20679 → 20680

Parity: odd

Prime: No

Previous Prime: 20663

Next Prime: 20681

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 61 × 113

Divisors: 1, 3, 61, 113, 183, 339, 6893, 20679

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011000111

Octal: 50307

Duodecimal: BB73

Hexadecimal: 50c7

Square: 427621041

Square Root: 143.80194713563512

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 the coefficient of x^k in the expansion of ∏_j>=1 (1 - x^j)⁵ is zero. A302057

Numbers k such that k and 2·k, taken together are pandigital. A115922

Total sum over all j in [n] of the number of partitions of [j*(n-j)] into (n-j) sets of size j having no set of consecutive numbers whose maximum (if j>0) is a multiple of j. A370368

Number of (5,2)-noncrossing partitions of [n]. A141080

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1100-1111-0100-0100 pattern in any orientation. A147470

Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1100-1111-0100-0100 pattern in any orientation. A147472

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (1, 0, 0), (1, 0, 1), (1, 1, 1)}. A151174

T(n,k)=Number of nondecreasing arrangements of n numbers in -k..k with sum zero and sum of squares less than n·k*(k+1)/3. A183935

Array giving number of (k,2)-noncrossing partitions of [n], read by antidiagonals. A125311

Numbers n such that the sum of prime(n) and π(n) is divisible by n. A65139