Properties of the Number 27145

Twenty-Seven Thousand One Hundred Forty-Five

Basics

Value: 27144 → 27145 → 27146

Parity: odd

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 61 × 89

Divisors: 1, 5, 61, 89, 305, 445, 5429, 27145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000001001

Octal: 65011

Duodecimal: 13861

Hexadecimal: 6a09

Square: 736851025

Square Root: 164.7573974060042

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

Third row of Pascal-(1,5,1) array A081580. A81589

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} whose longest block is of length k (0<=k<=n). A184182

Number of squares between powers of 2, floor(sqrt(2ⁿ⁺¹)) - floor(sqrt(2ⁿ)). A190568

Relative offsets from the middle point of each row of A233271 & A218616 to the first point where the former exceeds the latter, which apart of case a(3)=-1 is always left of or at the middle point. A233274

a(n) = 32·n² - 56·n + 25. A272129

Number of ways that a 1 X n rectangular tile T, marked into n unit squares, can be surrounded by one layer of copies of itself laid in the plane grid generated by the units of T. Ways that differ by rotation or reflection are not counted as different. The surrounded tile is the exact surrounded region. A159294

Number of 3 X 3 X 3 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value. A214907

Number of ways to reciprocally link elements of an 2 X n array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links. A220739

Squarefree terms of A276655. A276756

Triangle read by rows: Ranks of ideals in Partial Brauer Monoid PB_n. A276774