Number of the day: 28470

Gerolamo Cardano was born on this day 515 years ago.

Properties of the number 28470:

28470 = 2 × 3 × 5 × 13 × 73 is the 25372^th composite number and is squarefree.
28470 has 5 distinct prime factors, 32 divisors, 17 antidivisors and 6912 totatives.
28470 has a semiprime digit sum 21 in base 10.
28470 has a Fibonacci digit sum 21 in base 10.
28470 has a triangular digit sum 21 in base 10.
28470 = (75 × 76)/2 + … + (83 × 84)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
28470 is the difference of 2 positive pentagonal numbers in 3 ways.
28470 = 26² + 35² + 163² is the sum of 3 positive squares.
28470² = 18720² + 21450² = 9030² + 27000² = 12600² + 25530² = 8976² + 27018² = 2106² + 28392² = 12864² + 25398² = 5928² + 27846² = 5238² + 27984² = 16182² + 23424² = 17082² + 22776² = 7008² + 27594² = 14454² + 24528² = 10950² + 26280² is the sum of 2 positive squares in 13 ways.
28470² is the sum of 3 positive squares.
28470 is a divisor of 1487⁴ - 1.
28470 is palindromic in (at least) the following bases: 41, and -86.
28470 in base 3 = 1110001110 and consists of only the digits '0' and '1'.
28470 in base 27 = 1c1c and consists of only the digits '1' and 'c'.
28470 in base 41 = GcG and consists of only the digits 'G' and 'c'.

The number 28470 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A062254: 3rd level triangle related to Eulerian numbers and binomial transforms (A062253 is second level, triangle of Eulerian numbers is first level and triangle with Z(0,0)=1 and Z(n,k)=0 otherwise is 0th level).
A133409: Zero followed by partial sums of A133405.
A217020: Eulerian numbers of the third order.