Number of the day: 32920

Properties of the number 32920:

32920 = 2³ × 5 × 823 is the 29391^th composite number and is not squarefree.
32920 has 3 distinct prime factors, 16 divisors, 9 antidivisors and 13152 totatives.
32920 = 38³ - 28³ is the difference of 2 positive cubes in 1 way.
32920 = 8231² - 8229² = 4117² - 4113² = 1651² - 1641² = 833² - 813² is the difference of 2 nonnegative squares in 4 ways.
32920 is the difference of 2 positive pentagonal numbers in 2 ways.
32920 = 12² + 50² + 174² is the sum of 3 positive squares.
32920² = 19752² + 26336² is the sum of 2 positive squares in 1 way.
32920² is the sum of 3 positive squares.
32920 is a divisor of 1471⁶ - 1.

The number 32920 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A154256: Coefficients of x^n in the (n-1)-th iterations of x*(1+x)^2 for n>=1.
A203543: Number of n X n 0..4 arrays with every nonzero element less than or equal to some NW, E or S neighbor
A203545: Number of nX3 0..4 arrays with every nonzero element less than or equal to some NW, E or S neighbor
A203550: T(n,k)=Number of nXk 0..4 arrays with every nonzero element less than or equal to some NW, E or S neighbor
A206198: Number of (n+1)X(n+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases
A206202: Number of (n+1)X5 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases
A206206: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases