Properties of the Number 20764

Twenty Thousand Seven Hundred Sixty-Four

Basics

Value: 20763 → 20764 → 20765

Parity: even

Prime: No

Previous Prime: 20759

Next Prime: 20771

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 29 × 179

Divisors: 1, 2, 4, 29, 58, 116, 179, 358, 716, 5191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100011100

Octal: 50434

Duodecimal: 10024

Hexadecimal: 511c

Square: 431143696

Square Root: 144.09718942436038

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240284

Intrinsic 10-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base. A60947

a(n) = 2ⁿ mod Fibonacci(n). A57862

Number of partitions of n such that either both floor(n/2) and ceiling(n/2) are parts or else neither is a part. A238624

a(n) = n*(5n² + 3n + 4) / 6. A203551

Expansion of x⁵*(1 - x)²*(4 - 14·x + 8·x² + 11·x³ - 6·x⁴ - 2·x⁵ + 2·x⁶ + 5·x⁷ - 2·x⁸ + x⁹)/(1 - 2·x)⁴. A212330

a(n) = 2*(3·n+1)*(9·n+8). A304506

Binomial transform of a fractal structured sequence. A106496

Potential magic constants of a 10 X 10 magic square composed of consecutive primes. A192087

Number of nX6 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240283