### Properties of the number 32920:

32920 = 2^{3}× 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 = 38

^{3}- 28

^{3}is the difference of 2 positive cubes in 1 way.

32920 = 8231

^{2}- 8229

^{2}= 4117

^{2}- 4113

^{2}= 1651

^{2}- 1641

^{2}= 833

^{2}- 813

^{2}is the difference of 2 nonnegative squares in 4 ways.

32920 is the difference of 2 positive pentagonal numbers in 2 ways.

32920 = 12

^{2}+ 50

^{2}+ 174

^{2}is the sum of 3 positive squares.

32920

^{2}= 19752

^{2}+ 26336

^{2}is the sum of 2 positive squares in 1 way.

32920

^{2}is the sum of 3 positive squares.

32920 is a divisor of 1471

^{6}- 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

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