Properties of the Number 20368

Twenty Thousand Three Hundred Sixty-Eight

Basics

Value: 20367 → 20368 → 20369

Parity: even

Prime: No

Previous Prime: 20359

Next Prime: 20369

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 19 × 67

Divisors: 1, 2, 4, 8, 16, 19, 38, 67, 76, 134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111110010000

Octal: 47620

Duodecimal: B954

Hexadecimal: 4f90

Square: 414855424

Square Root: 142.71650219929018

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 integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others. A343346

Numbers which are representable as a sum of nineteen but no fewer consecutive nonnegative integers. A270303

Group the composite numbers so that the sum of the n-th group is a multiple of the n-th prime: (4), (6), (8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22), (24, 25), (26, 27, 28, 30, 32), (33, 34, ...), ... Sequence gives the group sum divided by n-th prime for the n-th group. A74127

a(n) = 1 + n + binomial(n+3,5). A154322

G.f. satisfies A(x) = 1 + x³ + x·A(x)². A367042

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones. A31787

Numbers n such that n | (sigma₅(n) - φ(n)⁵). A55699

Numbers k such that k | sigma₁₁(k) - φ(k)¹¹. A55705

G.f.: A(x) = ( G(x)⁷ - G(x⁷) - 7·x*((1-x⁶)/(1-x))/(1-x⁷) )/(49·x²) where G(x) is the g.f. of A110635. A111584

Number of n X 4 0..2 arrays with no element equal to any value at offset (-1,0) (0,-1) or (-2,-2) and new values introduced in order 0..2. A274854