1729-HARDY RAMANUJAN NUMBER

         1759 is a number quite familiar to us.It is known as HARDY RAMANUJAN NUMBER in the royal empire of Mathematics.Once, Hardy went to see Ramanujan and  told that his taxi number was not a good number.but ramanujan become more impressed on the number.He told Hardy that it is the smallest number that can be written as the sum of the cubes of two numbers in two different ways                          

1729=1^3+12^3=9^3+10^3
                     
          The other features of 1729 are
                     (1) the number can be divided by the sum of the digits in it(1+7+2+9=19,1729/19=91).                      (2)it was discovered by the famous Mathematician Masahiko Fugiwara .the number can be     
                         written as the product of two numbers(91*19) such that one is the sum of the digits in it        (1+7+2+9=19)and the
                         other is the interchange of digits in the former one(91).
                          The other numbers with these peculiarities are 1,81,1458.
In real fact the numbers from 1 to 10000 are real friends to Ramanujan.