1. Find the largest n such that n cube < 12, 000 (n^3 < 12, 000) use a while loop to find the largest integer n such that n cube < 12, 000 (n^3 < 12, 000). Textbook 5.13

2. A positive integer is called a perfect number if it is equal to the sum of all its positive dividers, excluding itself. For example, 6 is the first perfect number because 6 = 3 + 2+ 1. The next is 28 = 14 +7 +4 + 2+ 1.There are four perfect numbers less than 10, 000. Write a program to find all these numbers. Textbook 5.33