Properties of the Number 27620

Twenty-Seven Thousand Six Hundred Twenty

Basics

Value: 27619 → 27620 → 27621

Parity: even

Prime: No

Previous Prime: 27617

Next Prime: 27631

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 1381

Divisors: 1, 2, 4, 5, 10, 20, 1381, 2762, 5524, 6905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101111100100

Octal: 65744

Duodecimal: 13B98

Hexadecimal: 6be4

Square: 762864400

Square Root: 166.19265928433782

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 nXk 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317871

Record values in A085398. A250218

Number of n X 6 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317869

Number of nX7 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317870

Number of 4 X n binary matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1) and (11;0). A99945

Numbers k for which k = φ(k') + φ(k''), where φ is the Euler totient function (A000010), k' the arithmetic derivative of k (A003415) and k'' the second arithmetic derivative of k (A068346). A352332

a(n) = n + (n+1)² + (n+2)³. A27620

Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234878