Properties of the Number 20536

Twenty Thousand Five Hundred Thirty-Six

Basics

Value: 20535 → 20536 → 20537

Parity: even

Prime: No

Previous Prime: 20533

Next Prime: 20543

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 17 × 151

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 151, 302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000000111000

Octal: 50070

Duodecimal: BA74

Hexadecimal: 5038

Square: 421727296

Square Root: 143.30387294138285

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

Numbers m with deficiency 32: σ(m) - 2·m = -32. A387352

Expansion of ∑_k>0 x^4·k/(1-x^k)⁴. A363611

Number of (w,x,y,z) with all terms in {1,...,n} and |x-y| = w + |y-z|. A212683

Numbers m such that m*(m-τ(m))/σ(m) is an integer h where k-τ(k) is the number of nondivisors of k (A049820) and σ(k) is the sum of the divisors of k (A000203). A325020

Number of T₀ set-systems covering a subset of {1..n} that are closed under intersection. A326959

Taylor series of 1/f(x) with recursively defined function f(x) from A109087. A109088

G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x) * A(x²)). A367655

van Heijst's upper bound on the number of squares inscribed by a real algebraic curve in R² of degree n, if the number is finite. A239352

Number of compositions (ordered partitions) of n into pentagonal pyramidal numbers (A002411). A322853

Permutation of N induced by rotating the node 5 left in the infinite planar binary tree shown at A065658. A65669