Properties of the Number 61870

Sixty-One Thousand Eight Hundred Seventy

Basics

Value: 61869 → 61870 → 61871

Parity: even

Prime: No

Previous Prime: 61861

Next Prime: 61871

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 23 × 269

Divisors: 1, 2, 5, 10, 23, 46, 115, 230, 269, 538

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000110101110

Octal: 170656

Duodecimal: 2B97A

Hexadecimal: f1ae

Square: 3827896900

Square Root: 248.73680869545626

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

a(n) = ∑_k=0..n binomial(n,n-k)*n^n-k*n!/(n-k)!. A277373

a(n) = n! * Laguerre(n,-5). A289211

Numbers n such that in binary representation n is a substring of the n-th prime. A91020

T(n, k) = n! * [xⁿ] exp(k·x/(1 - x))/(1 - x). Triangle read by rows, T(n, k) for 0 <= k <= n. A344048

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = n!*LaguerreL(n, -k·n). A338435

Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3). A930

a(n) = a(n-1) + a(n-4) with a(0) = 0, a(1) = a(2) = a(3) = 1. A3269

Numbers such that |first digit - second digit + third digit - fourth digit ...| = 1. A61870

A(n,k) = n! * Laguerre(n,-k); square array A(n,k), n>=0, k>=0, read by antidiagonals. A289192

Number of binary words of length n in which the ones occur only in blocks of length at least 4. A5253