Number of the day: 81081

Properties of the number 81081:

81081 = 3⁴ × 7 × 11 × 13 is the 73143^th composite number and is not squarefree.
81081 has 4 distinct prime factors, 40 divisors, 43 antidivisors and 38880 totatives.
81081 is the difference of 2 nonnegative squares in 20 ways.
81081 is the sum of 2 positive triangular numbers.
81081 is the difference of 2 positive pentagonal numbers in 1 way.
81081 = 41² + 46² + 278² is the sum of 3 positive squares.
81081² = 31185² + 74844² is the sum of 2 positive squares in 1 way.
81081² is the sum of 3 positive squares.
81081 is a proper divisor of 1187⁶ - 1.
81081 is palindromic in (at least) base 54.
81081 in base 23 = 6f66 and consists of only the digits '6' and 'f'.
81081 in base 48 = Z99 and consists of only the digits '9' and 'Z'.
81081 in base 54 = RhR and consists of only the digits 'R' and 'h'.

The number 81081 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003913: Degrees of irreducible representations of Fischer group Fi22.
A064001: Odd abundant numbers not divisible by 5.
A104676: a(n) = binomial(n+2,2) * binomial(n+7,2).
A121738: Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order.
A144280: Lower triangular array called S2hat(-3) related to partition number array A144279.
A144282: Second column (m=2) of triangle S2hat(-3) = A144280.
A151338: Triangle read by rows: T(n,k) = number of partitions of [1..k] into n nonempty clumps of sizes 1, 2, 3, 4 or 5 (n >= 0, 0 <= k <= 5n).
A160654: Denominator of Laguerre(n, 10).
A239568: Number of ways to place 2 points on a triangular grid of side n so that they are not adjacent.
A275449: Least odd primitive abundant number with n prime factors, counted with multiplicity.