Thursday, January 4, 2018

Number of the day: 507213

Sir Isaac Newton was born on this day 375 years ago.

Properties of the number 507213:

507213 = 32 × 7 × 83 × 97 is the 465127th composite number and is not squarefree.
507213 has 4 distinct prime factors, 24 divisors, 29 antidivisors and 283392 totatives.
507213 = 173 + 213 + 793 = 33 + 373 + 773 is the sum of 3 positive cubes in 2 ways.
507213 is the difference of 2 nonnegative squares in 12 ways.
507213 is the difference of 2 positive pentagonal numbers in 2 ways.
507213 = 102 + 132 + 7122 is the sum of 3 positive squares.
5072132 = 3398852 + 3764882 is the sum of 2 positive squares in 1 way.
5072132 is the sum of 3 positive squares.
507213 is a proper divisor of 11636 - 1.
507213 = '50721' + '3' is the concatenation of 2 triangular numbers.
507213 is palindromic in (at least) base -90.
507213 in base 38 = 999R and consists of only the digits '9' and 'R'.

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