Properties of the Number 87066

Eighty-Seven Thousand Sixty-Six

Basics

Value: 87065 → 87066 → 87067

Parity: even

Prime: No

Previous Prime: 87049

Next Prime: 87071

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 691

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010000011010

Octal: 252032

Duodecimal: 42476

Hexadecimal: 1541a

Square: 7580488356

Square Root: 295.06948334248324

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

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and vertical height (i.e., number of rows) k (1 <= k <= n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121692

Smallest number whose home prime (cf. A037274) is the home prime of exactly n natural numbers. A215408

Numbers k such that the sum of the digits of σ(k)^k is divisible by k. A109659

a(n) = smallest prime p such that p is the home prime (cf. A037274) of exactly n natural numbers. A118756

Number of tilings of a 4 X 3n rectangle using 4n trominoes of any shape. A233339

a(n) = ∑_k>=0 floor(n*(r^k)), where r = sqrt(5)-2. A87066