Friday, July 14, 2017

Number of the day: 96063

Properties of the number 96063:

96063 is a cyclic number.
96063 = 3 × 11 × 41 × 71 is the 86804th composite number and is squarefree.
96063 has 4 distinct prime factors, 16 divisors, 31 antidivisors and 56000 totatives.
Reversing the decimal digits of 96063 results in a sphenic number.
96063 = 480322 - 480312 = 160122 - 160092 = 43722 - 43612 = 14722 - 14392 = 11922 - 11512 = 7122 - 6412 = 4522 - 3292 = 3322 - 1192 is the difference of 2 nonnegative squares in 8 ways.
96063 is the sum of 2 positive triangular numbers.
96063 is the difference of 2 positive pentagonal numbers in 4 ways.
96063 is not the sum of 3 positive squares.
960632 = 210872 + 937202 is the sum of 2 positive squares in 1 way.
960632 is the sum of 3 positive squares.
96063 is a proper divisor of 28310 - 1.
96063 is palindromic in (at least) the following bases: 85, and -62.
96063 in base 61 = Pnn and consists of only the digits 'P' and 'n'.

The number 96063 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A115132: Partial sums of A064059.
A123789: Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1x5 which is flat, i.e. with all blocks in parallel position and symmetric after a rotation by 180 degrees.

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