### 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 = 19

^{2}+ 20

^{2}+ 73

^{2}is the sum of 3 positive squares.

6090

^{2}= 4200

^{2}+ 4410

^{2}= 714

^{2}+ 6048

^{2}= 1008

^{2}+ 6006

^{2}= 3654

^{2}+ 4872

^{2}is the sum of 2 positive squares in 4 ways.

6090

^{2}is the sum of 3 positive squares.

6090 is a divisor of 349

^{2}- 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.

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