Properties of the Number 78661

Seventy-Eight Thousand Six Hundred Sixty-One

Basics

Value: 78660 → 78661 → 78662

Parity: odd

Prime: No

Previous Prime: 78653

Next Prime: 78691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 11 × 7151

Divisors: 1, 11, 7151, 78661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001101000101

Octal: 231505

Duodecimal: 39631

Hexadecimal: 13345

Square: 6187552921

Square Root: 280.46568417544415

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 that are the sum of 6 nonzero 8th powers. A3384

T(n,k) = Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..1 nXk array. A219741

Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..1 nX5 array. A219738

Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..1 nX6 array. A219739

Number of distinct solutions of sum{i=1..4}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1. A180796

Star numbers (A003154) whose digital sum and product of nonzero digits are both triangular numbers. A83748

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, 0, 0), (1, 1, -1)}. A150108

Number A(n,k) of tilings of a k X n rectangle using 1 X 1 squares and L-tiles; square array A(n,k), n>=0, k>=0, read by antidiagonals. A226444

a(0) = 1; for n>0, a(n) = 1 + coefficient of xⁿ in expansion of ∏_{n >= 2, n not of the form 2^k-1} (1+xⁿ). A78661