Number of the day: 52760

Properties of the number 52760:

52760 = 2³ × 5 × 1319 is the 47373^th composite number and is not squarefree.
52760 has 3 distinct prime factors, 16 divisors, 11 antidivisors and 21088 totatives.
52760 has an oblong digit sum 20 in base 10.
52760 = 13191² - 13189² = 6597² - 6593² = 2643² - 2633² = 1329² - 1309² is the difference of 2 nonnegative squares in 4 ways.
52760 is the difference of 2 positive pentagonal numbers in 2 ways.
52760 = 28² + 30² + 226² is the sum of 3 positive squares.
52760² = 31656² + 42208² is the sum of 2 positive squares in 1 way.
52760² is the sum of 3 positive squares.
52760 is a proper divisor of 281⁶⁵⁹ - 1.
52760 is palindromic in (at least) base -84.

The number 52760 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A070893: Let r, s, t be three permutations of the set {1,2,3,..,n}; a(n)= value of sum_{i=1..n} r(i)*s(i)*t(i), with r={1,2,3,..,n}; s={n,n-1,..,1} and t={n,n-2,n-4,...,1,...,n-3,n-1}.
A231732: Triangular array read by rows: row n shows the coefficients of the polynomial u(n) = c(0) + c(1)*x + ... + c(n)*x^(n) which is the numerator of the n-th convergent of the continued fraction [k, k, k, ... ], where k = (x + 2)/(x + 1).
A264390: Partial sums of A267326.