Find the sum of the positive square free divisors of 54000.
Note: A natural number is square free if it is not the multiple of any perfect square greater than 1.
(1, 2, 3, 5, 6, 8, 10, 12, 15, 18, 20, 24, 27, 30, 40, 45, 48, 50, 54, 60, 72, 75, 80, 90, 108, 120, 125, 135, 150, 180, 200, 216, 240, 250, 270, 300, 360, 375, 432, 450, 500, 540, 600, 675, 720, 750, 1000, 1080, 1125, 1200, 1350, 1500, 1800, 2000, 2160, 2250, 2700, 3000, 3375, 4500, 5400, 6000, 6750, 9000, 10800, 13500, 18000, 27000, 54000)>>Total No. 69>>Total Sum==187,981
A natural number is square free if it is not the multiple of any perfect square greater than 1.
Then this list of numbers should not include 12 18 20 24 27 40 80 etc .