Properties of the Number 67920

Sixty-Seven Thousand Nine Hundred Twenty

Basics

Value: 67919 → 67920 → 67921

Parity: even

Prime: No

Previous Prime: 67901

Next Prime: 67927

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 283

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100101010000

Octal: 204520

Duodecimal: 33380

Hexadecimal: 10950

Square: 4613126400

Square Root: 260.6146580681908

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

Penrice Christmas gift numbers, Card-matching numbers (Dinner-Diner matching numbers): Triangle T(n,k) = number of ways to get k matches for a deck with n cards, 2 of each kind. A59056

Expansion of e.g.f. Series_Reversion(1 - exp(-x) - x⁴). A392721

Expansion of e.g.f. -1/(1 - LambertW(x·log(1-x))). A392881

Number of n X 1 1..4 arrays with no element with value z exactly a city block distance of z from another element with value z. A210781

Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279973

Engel expansion of sin(2). A67920