Properties of the Number 67860

Sixty-Seven Thousand Eight Hundred Sixty

Basics

Value: 67859 → 67860 → 67861

Parity: even

Prime: No

Previous Prime: 67853

Next Prime: 67867

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 13 × 29

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100100010100

Octal: 204424

Duodecimal: 33330

Hexadecimal: 10914

Square: 4604979600

Square Root: 260.4995201531089

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

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives·numbers. A125490

Number of necklaces with 7 black beads and n-7 white beads. A32192

Numbers that are the sum of six fourth powers in exactly six ways. A345818

a(n) = floor(C(n,6)/7). A11797

Schoenheim bound L₁(n,7,6). A36834

Oblong composite numbers m such that β(m) = τ(m)/2 - 1 where β(m) is the number of Brazilian representations of m and τ(m) is the number of divisors of m. A326384

a(n) = (2·n³ + 5·n² - 7·n)/2. A162261

Fermat coefficients. A972

a(n) = 81·n² - 9·n. A277991

T(n,7), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 7 black beads and n-7 white beads. A51172