Properties of the Number 78936

Seventy-Eight Thousand Nine Hundred Thirty-Six

Basics

Value: 78935 → 78936 → 78937

Parity: even

Prime: No

Previous Prime: 78929

Next Prime: 78941

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 13 × 23

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 13, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010001011000

Octal: 232130

Duodecimal: 39820

Hexadecimal: 13458

Square: 6230892096

Square Root: 280.95551249263644

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

Array T(n,m) = 2*(2m+3)!*(4n+2m+1)!/(m!*(m+2)!*n!*(3n+2m+3)!) read by antidiagonals. A146305

The denominators of Zagier's modification of the Bernoulli numbers. A216923

Where A098018(k)=n. A98869

a(n) = K(5,n), where K(M,n) = 2*(2·M+3)!*(4·n+2·M+1)!/((M+2)!*M!*n!*(3·n+2·M+3)!). A362104

Numbers n such that n²+k-1 is the sum of two nonzero squares in exactly k ways for all k = 1, 2, 3. A273341

Expansion of (1/x) * Series_Reversion( x * ((1-x)² + x³) ). A371431

Smallest divisor of n*(n+1)/2 that is >= sqrt(n*(n+1)/2). A78936