What six digit number added to itself five times will give a sum each time having the same 6 digits as the original number?

(It's not 000000.)

here is a 16 digit number that when added to itself 16 times will always use  the same digits 0 588 235 294 117 647, when you add it a 17th time you get 9 999 999 999 999 999,

and here a 28 digit number that can be added to itself 28 times

0 344 827 586 206 896 551 724 137 931, this number when added a 29th time will give 29 9's,   and by the way 142857*7=99999

 

Posted by jose on 2005-11-03 12:28:49