Properties of the Number 27468

Twenty-Seven Thousand Four Hundred Sixty-Eight

Basics

Value: 27467 → 27468 → 27469

Parity: even

Prime: No

Previous Prime: 27457

Next Prime: 27479

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 109

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101101001100

Octal: 65514

Duodecimal: 13A90

Hexadecimal: 6b4c

Square: 754491024

Square Root: 165.73472780319761

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

Expansion of 1/(1 - x - x² + x⁵ - x⁷). A204631

Number of fixed 7-dimensional polycubes with n cells. A151833

a(n) = (n+1)*(n+2)²*(n+3)²*(n+4)*(3n² + 15n + 20)/2880. A107891

Smith numbers of order 3. A178213

Triangle T read by rows: T(m,n) = number of convex polyominoes with an m+1 X n+1 minimal bounding rectangle, m > 0, n <= m. A93118

Square array read by descending antidiagonals: A(n,k) is the number of fixed n-dimensional polyominoes of size k. A385291

Numbers k such that sopfr(k + ω(k)) = sopfr(k), where sopfr(i) = A001414(i) and ω(i) = A001221(i). A187878

Numbers k such that φ(k) = bigomega(k)*τ(k)². A68540

G.f. satisfies A(x)/A(x²) = (1 + 9x + 9x² + 9x³ + ...). A176201

The number of convex polyominoes whose smallest bounding rectangle has size w·h (w > 0, h > 0). The table is read by antidiagonals. A324009