Properties of the Number 32070

Thirty-Two Thousand Seventy

Basics

Value: 32069 → 32070 → 32071

Parity: even

Prime: No

Previous Prime: 32069

Next Prime: 32077

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 1069

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1069, 2138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 111110101000110

Octal: 76506

Duodecimal: 16686

Hexadecimal: 7d46

Square: 1028484900

Square Root: 179.0809872655386

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

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four. A249233

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1. A293087

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234169

Least positive integer k such that prime(k)-k, prime(k)+k, prime(k·n)-k·n, prime(k·n)+k·n, prime(k)+k·n and prime(k·n)+k are all prime. A259492

Partial sums of A026905; the convolution of the natural numbers with the partition function. A85360

Number of Dyck paths of semilength n avoiding the pattern U⁴ D⁴ U D. A225691

Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234163

Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234164

Number of length n+5 0..5 arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four. A249230

Number of length 1+5 0..n arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four. A249234