Number of the day: 180293

Properties of the number 180293:

180293 is a cyclic number.
180293 = 29 × 6217 is semiprime and squarefree.
180293 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 174048 totatives.
180293 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 180293 results in an emirpimes.
180293 = 90147² - 90146² = 3123² - 3094² is the difference of 2 nonnegative squares in 2 ways.
180293 is the difference of 2 positive pentagonal numbers in 2 ways.
180293 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
180293 = 257² + 338² = 47² + 422² is the sum of 2 positive squares in 2 ways.
180293 = 40² + 63² + 418² is the sum of 3 positive squares.
180293² = 124340² + 130557² = 48195² + 173732² = 39668² + 175875² = 92568² + 154715² is the sum of 2 positive squares in 4 ways.
180293² is the sum of 3 positive squares.
180293 is a proper divisor of 1151¹⁴ - 1.
180293 is an emirpimes in (at least) the following bases: 4, 5, 7, 8, 9, 10, 13, 15, 21, 23, 24, 26, 29, 31, 34, 35, 36, 40, 42, 44, 45, 48, 49, 50, 51, 52, 55, 57, 59, 69, 75, 77, 82, 83, 92, 95, and 97.
180293 is palindromic in (at least) the following bases: -90, and -91.

The number 180293 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A146422: Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1010-1111 pattern in any orientation.