Properties of the Number 27940

Twenty-Seven Thousand Nine Hundred Forty

Basics

Value: 27939 → 27940 → 27941

Parity: even

Prime: No

Previous Prime: 27919

Next Prime: 27941

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 11 × 127

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110100100100

Octal: 66444

Duodecimal: 14204

Hexadecimal: 6d24

Square: 780643600

Square Root: 167.15262486721528

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

Poincaré series for invariant polynomial functions on the space of binary forms of degree 16. A293941

Riordan array (1/(1-x·c(3·x)), x·c(3·x)/(1-x·c(3·x))), c(x) the g.f. of A000108. A110519

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having k long ascents (i.e., ascents of length at least 2). Rows are of length 1,1,2,2,3,3,... . A91156

Triangle read by rows: T(n,k) is the number of 2-Motzkin paths (i.e., Motzkin paths with blue and red level steps) without red level steps on the x-axis, having length n and k level steps (0 <= k <= n). A126222

Lesser of a pair of amicable numbers k < m such that s(k) = m and s(m) = k, where s(k) = A380845(k) - k is the sum of aliquot divisors of k that have the same binary weight as k. A380849

Triangle read by rows: a(n,k) = number of permutations in S_n which avoid the pattern 123 and have exactly k descents. A166073

Number of 4-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187608

Number of Sophie Germain primes of the form 4k + 1 less than 10ⁿ. A307176

Expansion of ((x-1)*sqrt(1-4·x²))/((x-1)*sqrt(1-4·x²)+x). A190788

a(n) = A005291(n) + A005291(n+1). A195308