Properties of the Number 66420

Sixty-Six Thousand Four Hundred Twenty

Basics

Value: 66419 → 66420 → 66421

Parity: even

Prime: No

Previous Prime: 66413

Next Prime: 66431

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 5 × 41

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001101110100

Octal: 201564

Duodecimal: 32530

Hexadecimal: 10374

Square: 4411616400

Square Root: 257.72077913897436

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 all the parts in the partitions of n into 9 parts. A326464

a(2·n+1) = 9·a(n), a(2·n+2) = 10·a(n) + a(n-1). A116555

Number of positions that are exactly n moves from the starting position in the 2 X 2 X 2 Rubik cube puzzle using only one-way quarter moves. A152169

a(n) = n*(2·n + 1)*(4·n + 1). A316224

Sums of 4 distinct powers of 9. A38489

a(n) = ∑_k=2..n 9^k. A247842

Numbers n such that n * (x-1)/x produces a rotation of the digits in n for some value of x. A288626

Triangle read by rows, coefficients of polynomials in t = log(x) of the n-th derivative of x^x³, evaluated at x = 1. T(n, k) with n >= 0 and 0 <= k <= n. A293474

Norm of coefficients in the expansion of 1/(1 - 3·x - I·x²), where I²=-1. A248848

G.f. A(x) satisfies: [x^n-1] 1/A(x)^n² = 0 for n>2. A292877