Properties of the Number 20570

Twenty Thousand Five Hundred Seventy

Basics

Value: 20569 → 20570 → 20571

Parity: even

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 11 ² × 17

Divisors: 1, 2, 5, 10, 11, 17, 22, 34, 55, 85

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000001011010

Octal: 50132

Duodecimal: BAA2

Hexadecimal: 505a

Square: 423124900

Square Root: 143.42245291445826

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

Position in A356226 of first appearance of the n-th composition in standard order (row n of A066099). A356603

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 1,2 or 2,2. A264017

G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)⁵). A364409

a(n) = ∑_{k=0..floor(n/5)} (-1)^k * binomial(n+4,5·k+4) * Catalan(k). A360051

G.f. A(x) satisfies: A(x) = 1/G000041(x/A(x)) where G000041(x) is the g.f. of the partition numbers A000041. A109084

a(n) = ∏_{d∣n, d<n} prime(1+A056239(d)), where A056239(d) gives the weight of the partition whose Heinz-number is d. A319352

Number of (n+1) X (5+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. A235951

Number of (n+1) X (4+1) arrays of permutations of 0..n·5+4 with each element having index change +-(.,.) 0,0 1,2 or 2,2. A264014

Number of (4+1) X (n+1) arrays of permutations of 0..n·5+4 with each element having index change +-(.,.) 0,0 1,2 or 2,2. A264019

a(n)=the sum of the (1,2)- and (1,3)-entries and twice the (1,4)-entry of the matrix Pⁿ + Tⁿ, where the 4 X 4 matrices P and T are defined by P=[0,1,0,0;0,0,1,0;0,0,0,1;1,0,0,0] and T=[0,1,0,0;0,0,1,0;0,0,0,1;1,1,1,1]. A109525