Number of the day: 2108

Properties of the number 2108:

2108 = 2² × 17 × 31 is the 1790^th composite number and is not squarefree.
2108 has 3 distinct prime factors, 12 divisors, 9 antidivisors and 960 totatives.
2108 has a prime digit sum 11 in base 10.
2108 has sum of divisors equal to 4032 which is an oblong number.
2108 = 2² + … + 18² is the sum of at least 2 consecutive positive squares in 1 way.
2108 = 528² - 526² = 48² - 14² is the difference of 2 nonnegative squares in 2 ways.
2108 is the sum of 2 positive triangular numbers.
2108 is the difference of 2 positive pentagonal numbers in 2 ways.
2108 is not the sum of 3 positive squares.
2108² = 992² + 1860² is the sum of 2 positive squares in 1 way.
2108² is the sum of 3 positive squares.
2108 is a proper divisor of 373² - 1.
2108 is palindromic in (at least) the following bases: 5, 27, 43, 61, 67, -6, -39, and -49.
2108 in base 3 = 2220002 and consists of only the digits '0' and '2'.
2108 in base 14 = aa8 and consists of only the digits '8' and 'a'.
2108 in base 20 = 558 and consists of only the digits '5' and '8'.
2108 in base 26 = 332 and consists of only the digits '2' and '3'.
2108 in base 27 = 2o2 and consists of only the digits '2' and 'o'.
2108 in base 42 = 188 and consists of only the digits '1' and '8'.
2108 in base 43 = 161 and consists of only the digits '1' and '6'.
2108 in base 45 = 11c and consists of only the digits '1' and 'c'.

The number 2108 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003106: Number of partitions of n into parts 5k+2 or 5k+3.
A028884: a(n) = (n + 3)^2 - 8.
A034327: Triangle of numbers of connected regular (k X n)-matrix matroids of dimension k.
A092945: Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product + 1 is prime. Sequence contains the last term of each group.
A105142: Positive integers n such that n^12 + 1 is semiprime.
A135789: Positive numbers of the form x^4 - 6 * x^2 * y^2 + y^4 (where x,y are integers).
A139570: 2n(n+3).
A229645: Cogrowth function of the group Baumslag-Solitar(3,3).
A238864: Number of partitions of n where the difference between consecutive parts is at most 4.
A260573: Numbers n such that (n^97+1)/(n+1) is prime.