Number of the day: 94640

Properties of the number 94640:

94640 = 2⁴ × 5 × 7 × 13² is the 85512^th composite number and is not squarefree.
94640 has 4 distinct prime factors, 60 divisors, 17 antidivisors and 29952 totatives.
94640 has a prime digit sum 23 in base 10.
94640 is the difference of 2 nonnegative squares in 18 ways.
94640 is the difference of 2 positive pentagonal numbers in 5 ways.
94640 = 60² + 76² + 292² is the sum of 3 positive squares.
94640² = 36400² + 87360² = 23296² + 91728² = 48048² + 81536² = 56784² + 75712² = 66640² + 67200² = 12992² + 93744² = 13776² + 93632² is the sum of 2 positive squares in 7 ways.
94640² is the sum of 3 positive squares.
94640 is a divisor of 239⁴ - 1.
94640 is palindromic in (at least) base 54.
94640 in base 52 = Z00 and consists of only the digits '0' and 'Z'.
94640 in base 54 = WOW and consists of only the digits 'O' and 'W'.

The number 94640 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008779: Number of n-dimensional partitions of 5.
A089660: Let S1 := (n,t)->add( k^t * add( binomial(n,j), j=0..k), k=0..n); a(n) = S1(n,3).
A172373: A beta integer combination triangle of a Narayana type: a=1:f(n, a) = a*f(n - 1, a) + a*f(n - 2, a);c(n,a)=If[n == 0, 1, Product[f(i, a), {i, 1, n}]];w(n,m,q)=c(n - 1, q)*c(n, q)/(c(m - 1, q)*c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*f(m, q))
A210373: Number of 2 X 2 matrices with all elements in {0,1,...,n} and positive odd determinant.
A230361: Integer areas of the tangential triangles corresponding to the integer-sided triangles with integer areas.
A249708: Number of length 2+3 0..n arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms