Properties of the Number 67096

Sixty-Seven Thousand Ninety-Six

Basics

Value: 67095 → 67096 → 67097

Parity: even

Prime: No

Previous Prime: 67079

Next Prime: 67103

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 8387

Divisors: 1, 2, 4, 8, 8387, 16774, 33548, 67096

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011000011000

Octal: 203030

Duodecimal: 329B4

Hexadecimal: 10618

Square: 4501873216

Square Root: 259.0289559103383

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

Sum of positive Dyson's ranks of all partitions of n. A209616

E.g.f. satisfies: A(x)^A(x) = exp(2·x) * A(-x)^A(-x). A274377

Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302519

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302515

Floor[X/Y] where X = concatenation in increasing order of first n even numbers and Y = that of first n natural numbers. A67096

E.g.f. satisfies: A(x) = exp(2·x) * A(-x). A275764