Properties of the Number 27540

Twenty-Seven Thousand Five Hundred Forty

Basics

Value: 27539 → 27540 → 27541

Parity: even

Prime: No

Previous Prime: 27539

Next Prime: 27541

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 5 × 17

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101110010100

Octal: 65624

Duodecimal: 13B30

Hexadecimal: 6b94

Square: 758451600

Square Root: 165.95180023127196

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

a(n) is the number of large or small squares that are used to tile primitive squares of type 1 whose length of side is A344333(n). A344334

a(n) = 9·binomial(n,4) = 3·n*(n-1)*(n-2)*(n-3)/8. A60008

Numbers with prime factorization pqr^2s^4. A190107

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction. A221507

First term of A175304 with a given prime signature. A282231

Number of pairs of partitions of n that are successors in reverse lexicographic order, but incomparable in dominance (natural, majorization) ordering. A248475

a(n) is the number of large or small squares that are used to tile primary squares of type 1 (see A344331) whose side length is A345285(n). A345286

Numbers which can be written as b²*c²*(b²+c²). A63663

Shifts 3 places left under Dirichlet convolution. A144367

Numbers k such that k is the average of four consecutive primes k-11, k-1, k+1 and k+11. A259025