Number of the day: 6090

Properties of the number 6090:

6090 = 2 × 3 × 5 × 7 × 29 is the 5295^th composite number and is squarefree.
6090 has 5 distinct prime factors, 32 divisors, 19 antidivisors and 1344 totatives.
6090 has an emirpimes digit sum 15 in base 10.
6090 has a triangular digit sum 15 in base 10.
6090 = (14 × 15)/2 + … + (33 × 34)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
6090 is the sum of 2 positive triangular numbers.
6090 is the difference of 2 positive pentagonal numbers in 2 ways.
6090 = 19² + 20² + 73² is the sum of 3 positive squares.
6090² = 4200² + 4410² = 714² + 6048² = 1008² + 6006² = 3654² + 4872² is the sum of 2 positive squares in 4 ways.
6090² is the sum of 3 positive squares.
6090 is a divisor of 349² - 1.
6090 is palindromic in (at least) base 86.
6090 in base 12 = 3636 and consists of only the digits '3' and '6'.
6090 in base 17 = 1414 and consists of only the digits '1' and '4'.
6090 in base 19 = gga and consists of only the digits 'a' and 'g'.
6090 in base 22 = cci and consists of only the digits 'c' and 'i'.
6090 in base 23 = bbi and consists of only the digits 'b' and 'i'.
6090 in base 29 = 770 and consists of only the digits '0' and '7'.

The number 6090 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A024365: Areas of right triangles with co-prime integer sides.
A024406: Ordered areas of primitive Pythagorean triangles.
A046387: Products of 5 distinct primes.
A049385: Triangle of numbers related to triangle A049375; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297...
A051270: Numbers that are divisible by exactly 5 different primes.
A105122: Positive integers n such that n^11 + 1 is semiprime.
A125015: Numbers n for which nontrivial positive magic squares of exactly 8 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.
A196837: Coefficient table of numerator polynomials of o.g.f.s for partial sums of powers of positive integers.
A201598: Record (maximal) gaps between prime triplets (p, p+2, p+6).
A242027: Number T(n,k) of endofunctions on [n] with cycles of k distinct lengths; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows.