Properties of the Number 5380

Five Thousand Three Hundred Eighty

Basics

Value: 5379 → 5380 → 5381

Parity: even

Prime: No

Previous Prime: 5351

Next Prime: 5381

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 × 269

Divisors: 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100000100

Octal: 12404

Duodecimal: 3144

Hexadecimal: 1504

Square: 28944400

Square Root: 73.348483283569

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

Number of permutations satisfying i-2<=p(i)<=i+3, i=1..n. A72827

a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2. A143438

Convolution square of A000219. A161870

Number of integer partitions of n such that the number of parts is equal to the number of distinct divisors of parts. A371130

Number of unlabeled connected series-parallel posets with n nodes. A7453

Number of polyominoes consisting of 5 regular unit n-gons. A103471

a(n) = n*(14·n - 11). A195021

Numbers k such that the largest unitary divisor of σ(k) that is coprime with A003961(k) is also a unitary divisor of k. A351551

Partial sums of the partition function (A000041), with the last term subtracted. Also the sum of the row of the character table for S_n corresponding to the partition n-1,1 for n>1. Also the sum over all partitions λ of n of one less than the number of 1's in λ. A58884

The positions i where A163355(i) = i, that is, the fixed points of permutation A163355. A163901