Double-base palindromes

 Published on Friday, 31st January 2003, 06:00 pm; Solved by 89648;
Difficulty rating: 5%

Problem 36

The decimal number, 585 = 10010010012 (binary), is palindromic in both bases.

Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.

(Please note that the palindromic number, in either base, may not include leading zeros.)