Number of the day: 71370

Properties of the number 71370:

71370 = 2 × 3² × 5 × 13 × 61 is the 64301^th composite number and is not squarefree.
71370 has 5 distinct prime factors, 48 divisors, 27 antidivisors and 17280 totatives.
71370 = 68² + … + 80² is the sum of at least 2 consecutive positive squares in 1 way.
71370 is the difference of 2 positive pentagonal numbers in 3 ways.
71370 = 111² + 243² = 9² + 267² = 153² + 219² = 57² + 261² is the sum of 2 positive squares in 4 ways.
71370 = 8² + 65² + 259² is the sum of 3 positive squares.
71370² = 31824² + 63882² = 4806² + 71208² = 46728² + 53946² = 15120² + 69750² = 12870² + 70200² = 38880² + 59850² = 48438² + 52416² = 24552² + 67014² = 29754² + 64872² = 42822² + 57096² = 17568² + 69174² = 36234² + 61488² = 27450² + 65880² is the sum of 2 positive squares in 13 ways.
71370² is the sum of 3 positive squares.
71370 is a proper divisor of 233⁴ - 1.
71370 is palindromic in (at least) the following bases: 8, 52, 67, and -71.
71370 in base 46 = XXO and consists of only the digits 'O' and 'X'.
71370 in base 52 = QKQ and consists of only the digits 'K' and 'Q'.

The number 71370 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A069520: (1/n)*sum(d|n,d*sigma(d)) is an integer.
A127535: Triangle read by rows: T(n,k) is the number of even trees with 2n edges and jump-length equal to k (0<=k<=n-1). An even tree is an ordered tree in which each vertex has an even outdegree. In the preorder traversal of an ordered tree, any transition from a node at a deeper level to a node on a strictly higher level is called a jump; the positive difference of the levels is called the jump distance; the sum of the jump distances in a given ordered tree is called the jump-length.
A233246: Sum of squares of cycle lengths for different cycles in Fibonacci-like sequences modulo n.
A248083: Subsequence of lesser of 2 terms of A095301 that are 2 apart.