Number of the day: 10845

Properties of the number 10845:

10845 = 3² × 5 × 241 is the 9527^th composite number and is not squarefree.
10845 has 3 distinct prime factors, 12 divisors, 17 antidivisors and 5760 totatives.
10845 = 5423² - 5422² = 1809² - 1806² = 1087² - 1082² = 607² - 598² = 369² - 354² = 143² - 98² is the difference of 2 nonnegative squares in 6 ways.
10845 is the difference of 2 positive pentagonal numbers in 2 ways.
10845 = 69² + 78² = 21² + 102² is the sum of 2 positive squares in 2 ways.
10845 = 2² + 5² + 104² is the sum of 3 positive squares.
10845² = 6507² + 8676² = 4284² + 9963² = 1323² + 10764² = 5400² + 9405² is the sum of 2 positive squares in 4 ways.
10845² is the sum of 3 positive squares.
10845 is a proper divisor of 739⁶ - 1.
10845 is palindromic in (at least) base -36.
10845 in base 15 = 3330 and consists of only the digits '0' and '3'.
10845 in base 42 = 669 and consists of only the digits '6' and '9'.
10845 in base 46 = 55Z and consists of only the digits '5' and 'Z'.

The number 10845 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A022466: Number of 1's in n-th term of A007651.
A023627: Convolution of (1, p(1), p(2), ...) and composite numbers.
A069927: Numbers n such that n divides 2^(n+3)-1.
A143448: Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=5.
A151745: Composites that are the sum of two, three, four and five consecutive composite numbers.
A156370: Numerator of Euler(n, 5/14).
A201365: Expansion of e.g.f.: exp(x) / (5 - 4*exp(x)).
A236370: Sum of the largest parts in the partitions of 3n into 3 parts.
A295993: Numbers k such that there are precisely 8 groups of orders k and k + 1.
A321960: Array of sequences read by descending antidiagonals, A(n) the Jacobi square of the sequence n, n+1, n+2, ....