Properties of the Number 67628

Sixty-Seven Thousand Six Hundred Twenty-Eight

Basics

Value: 67627 → 67628 → 67629

Parity: even

Prime: No

Previous Prime: 67619

Next Prime: 67631

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 11 × 29 × 53

Divisors: 1, 2, 4, 11, 22, 29, 44, 53, 58, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100000101100

Octal: 204054

Duodecimal: 33178

Hexadecimal: 1082c

Square: 4573546384

Square Root: 260.05384057921543

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

Number of incomplete integer partitions of n, meaning not every number from 0 to n is the sum of some submultiset. A365924

Numbers k such that if x = σ(k) + τ(k) - k then k = σ(x) + τ(x) - x. A238226

a(n) = 4·n*(21·n - 26). A263229

Number of subsets of the first n numbers having a common divisor greater than 1. A109511

The number of unlabeled graphs on n nodes with degree of 1 or 2. A186417

a(n) = (1/24)*(n + 3)*(3·n³ + 5·n² - 6·n + 16). A290061

Lesser members of dihedral amicable pairs: numbers (m, k) such that t(m) = t(k) = m + k, where t(k) = σ(k) + d(k). A320457

Number of nXnXn triangular 0..3 arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value. A215177

Number of possibilities of getting a prime sum when rolling n six-sided dice. A224397

Number of n X 2 0..1 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280227