Properties of the Number 77369

Seventy-Seven Thousand Three Hundred Sixty-Nine

Basics

Value: 77368 → 77369 → 77370

Parity: odd

Prime: Yes

Previous Prime: 77359

Next Prime: 77377

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 77369

Divisors: 1, 77369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111000111001

Octal: 227071

Duodecimal: 38935

Hexadecimal: 12e39

Square: 5985962161

Square Root: 278.15283568570715

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

Expansion of 1/((1-2x)(1-5x)(1-6x)(1-12x)). A25991

Number of (k+1)-tuples of integers modulo n (x₁,...,x_k,s) such that at least one subset of the x_i sums to s mod n. In other words, n^k times the expected number of distinct subset sums mod n of k integers mod n chosen uniformly at random. Read by antidiagonals, i.e., with entries in the order (n,k)=(1,1),(1,2),(2,1),(1,3),(2,2),(3,1),... A98966

Number of permutations of length n which avoid the patterns 1243, 4132, 4321. A116771

Smallest n-digit triangular number whose external digits as well as internal digits form triangular numbers, or -1 if no such number exists. A77369