536

536 = 2³ x 67.

536 starts with the same four digits in base 3 and base 4: 201212 and 20120. It has double digits in base 6 (2252), base 9 (655), base 11 (448), and base 12 (388). It is 323 in base 13.

536 is the lowest happy number beginning with the digit 5.

536 is the solution to the Dancing School Problem with 3 girls and 12 boys.

The stomachion of Archimedes (a 14-piece dissection puzzle) has 536 solutions.

Source: On-Line Encyclopedia of Integer Sequences