1,729 is the “taxicab number”; the smallest number that is the sum of two cubes in two different ways: 1000+729 = 1728+1

17,290 is 10 times the taxicab number.

36,100 is the sum of the first 19 cubes.

50,021 is a prime number, meaning that it has no factors except one and itself.

109,376 is an automorphic number; if you multiply it by itself any number of times, the same six digits remain at the end.

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