Properties of the Number 78115

Seventy-Eight Thousand One Hundred Fifteen

Basics

Value: 78114 → 78115 → 78116

Parity: odd

Prime: No

Previous Prime: 78101

Next Prime: 78121

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 17 × 919

Divisors: 1, 5, 17, 85, 919, 4595, 15623, 78115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100100011

Octal: 230443

Duodecimal: 39257

Hexadecimal: 13123

Square: 6101953225

Square Root: 279.49060807118366

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 ∏_m>=1 (1+q^m)^-5. A22600

Monotonic ordering of nonnegative differences 5ⁱ-10^j, for 40>= i>=0, j>=0. A192201

a(n)=number of Catalan knight paths in Quadrant I from (0,0) to points on the vertical line x=n. A Catalan knight moves (2 right and 1 up) or (1 right and 1 down). A96588

Indices k such that 26 plus the k-th triangular number is a perfect square. A154152

Derived from the centered polygonal numbers: start with the first triangular number, then the sum of the first square number and the second triangular number, then the sum of first pentagonal number, the second square number and the third triangular number, and so on and so on... A141534

Number of binary matrices with distinct nonzero rows, a total of n ones and distinct columns each with the same number of ones and columns in decreasing lexicographic order. A331651

Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order two under binary matrix multiplication. A54466

Enomial primes of order 6: primes of the form 2·x⁶ + 7·x⁵ + 1·x⁴ + 8·x³ + 2·x² + 8·x + 1 for positive integer x. A78115