Number of the day: 5382

Properties of the number 5382:

5382 = 2 × 3² × 13 × 23 is the 4672^th composite number and is not squarefree.
5382 has 4 distinct prime factors, 24 divisors, 15 antidivisors and 1584 totatives.
5382 has an oblong digit product 240 in base 10.
5382 = 14² + … + 26² is the sum of at least 2 consecutive positive squares in 1 way.
5382 is the sum of 2 positive triangular numbers.
5382 is the difference of 2 positive pentagonal numbers in 2 ways.
5382 = 2² + 7² + 73² is the sum of 3 positive squares.
5382² = 2070² + 4968² is the sum of 2 positive squares in 1 way.
5382² is the sum of 3 positive squares.
5382 is a proper divisor of 139³ - 1.
5382 is palindromic in (at least) the following bases: 28, 77, -4, and -32.
5382 in base 17 = 11aa and consists of only the digits '1' and 'a'.
5382 in base 28 = 6o6 and consists of only the digits '6' and 'o'.

The number 5382 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A055102: Expansion of cube of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).
A077285: Number of partitions of n with designated summands.
A086113: Number of 3 X n (0,1) matrices such that each row and each column is nondecreasing or nonincreasing.
A113744: Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1.
A113746: Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.
A134602: Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c^2+d^2)/2)).
A139274: a(n) = n*(8*n-1).
A152759: 3 times 9-gonal (or nonagonal) numbers: 3n(7n-5)/2.
A182205: Iterate the map in A006368 starting at 40.
A186029: a(n) = n*(7*n+3)/2.