Properties of the Number 20782

Twenty Thousand Seven Hundred Eighty-Two

Basics

Value: 20781 → 20782 → 20783

Parity: even

Prime: No

Previous Prime: 20773

Next Prime: 20789

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 10391

Divisors: 1, 2, 10391, 20782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000100101110

Octal: 50456

Duodecimal: 1003A

Hexadecimal: 512e

Square: 431891524

Square Root: 144.1596337398233

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 whose median part is the smallest. A361860

Numbers whose least quadratic nonresidue (A020649) is 19. A25027

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251228

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252334

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 1 or 3 king-move neighboring 1s. A296651

Sum of all odd-indexed parts minus the sum of all even-indexed parts of all partitions of n, with the parts written in nondecreasing order. A194714

Number of digit patterns of length n without common prime factors of a different digital type. A376918

Numbers k such that k·2^m-1 are composites for all exponents m in the range 0<=m<=k. A61154

Number of base-2 palindromic primes (A016041) in range [2²ⁿ,2²ⁿ⁺¹]. A95741

Number of distinct digital types of n-digit primes in base 10. A267013