Properties of the Number 42680

Forty-Two Thousand Six Hundred Eighty

Basics

Value: 42679 → 42680 → 42681

Parity: even

Prime: No

Previous Prime: 42677

Next Prime: 42683

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 11 × 97

Divisors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011010111000

Octal: 123270

Duodecimal: 20848

Hexadecimal: a6b8

Square: 1821582400

Square Root: 206.59138413786766

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

Octahedral numbers: a(n) = n*(2·n² + 1)/3. A5900

Sum of all the parts in the partitions of n into 8 squarefree parts. A326444

a(n) = 4·n³ + 4·n. A105374

Number of points in the standard root system version of the D₄ lattice having L_infinity norm n. A117216

G.f. A(x) satisfies A(x) = 1 + x + x⁴*A(x)⁴. A366558

Numbers k such that A011772(k) > A344878(k) and A011772(k) is a divisor of A344875(k). A344595

Number of points of l₁ norm n in the "diamond" lattice D^+_4. A35878

Partial sums of the even triangular numbers (A014494). A352115

a(n) is the smallest positive integer which can be represented as the sum of n distinct nonzero tetrahedral numbers in exactly n ways, or -1 if no such integer exists. A360217

Number of partitions p of n such that max(p) - min(p) is not a part of p. A238494