Properties of the Number 27972

Twenty-Seven Thousand Nine Hundred Seventy-Two

Basics

Value: 27971 → 27972 → 27973

Parity: even

Prime: No

Previous Prime: 27967

Next Prime: 27983

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 2 ² × 3 ³ × 7 × 37

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: 110110101000100

Octal: 66504

Duodecimal: 14230

Hexadecimal: 6d44

Square: 782432784

Square Root: 167.24831837719626

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 {∏_j>=1 (1 - (-x)^j) - 1}¹² in powers of x. A1490

Coefficients in expansion of E₆^1/4. A289326

Even 10-gonal (or decagonal) numbers. A28994

Palindromes whose squares belong to A066531. A117281

Number of 3 X 3 magilatin squares with positive values and magic sum n. A173549

Number of ways to tile an n X n X n triangular area with two 2 X 2 X 2 triangular tiles and an appropriate number (= n²-8) of 1 X 1 X 1 tiles. A286437

Least positive palindromic multiple of n, or 0 if none exists. A20485

a(n) is the Severi degree for curves of degree n and cogenus 2. A171108

Obtain m by omitting trailing zeros from n (cf. A004151); a(n) = smallest multiple k·m which is a palindrome. A61816

Palindromes with exactly 7 prime factors (counted with multiplicity). A46333