Teka Teki # 2 : Amicable Number

Once upon a time there was a sultan who considered himself a great problem solver. The guards told him that one of his prisoners was a mathematician. The very next day he visited the captive and offered him the following challenge: "Either you remain in prison for the rest of your life or you give me a problem to solve and I will let you go free until I find the answer, but as soon as I discover the solution, off comes your head." The clever captive did not hesitate in accepting the deal. He gave the sultan the following problem: "The sum of all the natural divisors of 220, except for the number itself, equals
 
1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 284
and the sum of all the natural divisors of 284, except for the number itself is equal to
 
1 + 2 + 4 +71 + 142 = 220. Find another pair of such numbers."

P/s : Siapa yang sudi nak menyelesaikan teka teki sultan ni? Nak tengok siapa yang berani...