Tuesday, November 29, 2016

Number of the day: 96075

Properties of the number 96075:

96075 = 32 × 52 × 7 × 61 is the 86816th composite number and is not squarefree.
96075 has 4 distinct prime factors, 36 divisors, 41 antidivisors and 43200 totatives.
96075 is the difference of 2 nonnegative squares in 18 ways.
96075 is the sum of 2 positive triangular numbers.
96075 is the difference of 2 positive pentagonal numbers in 4 ways.
96075 = 52 + 1012 + 2932 is the sum of 3 positive squares.
960752 = 428402 + 859952 = 173252 + 945002 = 430922 + 858692 = 652052 + 705602 = 98282 + 955712 = 576452 + 768602 = 269012 + 922322 is the sum of 2 positive squares in 7 ways.
960752 is the sum of 3 positive squares.
96075 is a divisor of 10516 - 1.
96075 is palindromic in (at least) the following bases: -57, and -86.
96075 in base 7 = 550050 and consists of only the digits '0' and '5'.
96075 in base 56 = UZZ and consists of only the digits 'U' and 'Z'.

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