Number of the day: 32139

Properties of the number 32139:

32139 = 3² × 3571 is the 28691^th composite number and is not squarefree.
32139 has 2 distinct prime factors, 6 divisors, 11 antidivisors and 21420 totatives.
32139 = 16070² - 16069² = 5358² - 5355² = 1790² - 1781² is the difference of 2 nonnegative squares in 3 ways.
32139 is the difference of 2 positive pentagonal numbers in 1 way.
32139 = 17² + 35² + 175² is the sum of 3 positive squares.
32139² is the sum of 3 positive squares.
32139 is a proper divisor of 103³ - 1.
32139 = '321' + '39' is the concatenation of 2 emirpimes.
32139 is palindromic in (at least) the following bases: 37, -33, -43, and -63.
32139 in base 34 = rr9 and consists of only the digits '9' and 'r'.
32139 in base 37 = NHN and consists of only the digits 'H' and 'N'.
32139 in base 42 = I99 and consists of only the digits '9' and 'I'.

The number 32139 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A004932: Floor of n*phi^17, where phi is the golden ratio, A001622.
A004952: Nearest integer to n*phi^17, where phi is the golden ratio, A001622.
A114613: Starting numbers for which the RATS sequence has eventual period 3.
A224749: Vauban's sequence: a(n)=0 if n<=0, a(1)=1; thereafter a(n) = 3*a(n-1) + 6*a(n-2) + 6*a(n-3) + 6*a(n-4) + 6*a(n-5).
A251310: Number of (n+1) X (1+1) 0..1 arrays with no 2 X 2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.
A288492: Indices of terms of A288349 that are powers of 2.