Number of the day: 53430

Properties of the number 53430:

53430 = 2 × 3 × 5 × 13 × 137 is the 47981^th composite number and is squarefree.
53430 has 5 distinct prime factors, 32 divisors, 15 antidivisors and 13056 totatives.
53430 has an emirpimes digit sum 15 in base 10.
53430 has a triangular digit sum 15 in base 10.
53430 = 58² + … + 70² is the sum of at least 2 consecutive positive squares in 1 way.
53430 is the sum of 2 positive triangular numbers.
53430 is the difference of 2 positive pentagonal numbers in 2 ways.
53430 = 26² + 35² + 227² is the sum of 3 positive squares.
53430² = 34320² + 40950² = 15930² + 51000² = 24600² + 47430² = 17856² + 50358² = 2886² + 53352² = 23184² + 48138² = 12168² + 52026² = 8778² + 52704² = 31242² + 43344² = 32058² + 42744² = 13152² + 51786² = 27126² + 46032² = 20550² + 49320² is the sum of 2 positive squares in 13 ways.
53430² is the sum of 3 positive squares.
53430 is a proper divisor of 311⁴ - 1.
53430 = '534' + '30' is the concatenation of 2 sphenic numbers.
53430 in base 37 = 1212 and consists of only the digits '1' and '2'.

The number 53430 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A024205: [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 odd positive integers}.
A072289: One eighty-fourth the area of primitive Pythagorean triangles with (increasing) square hypotenuses (precisely those of A008846).
A077521: a(1) = 1, a(n) = smallest squarefree number which begins with n and is a multiple of the previous term.
A111696: a(n) = C(n,a)+C(n,b)+C(n,c)... where n = abc... are the decimal digits of n.
A123975: Number of Garden of Eden partitions of n in Bulgarian Solitaire.
A274062: Even numbers such that the sum of the odd divisors is a Fibonacci number F and the sum of the even divisors is 2F.