Russell found that there are just twelve five-figure numbers that have
the peculiarity that the first two figures multiplied by the last
three--all the figures being different, and there being no 0--will
produce a number with exactly the same five figures, in a different
order. But only one of these twelve begins with a 1--namely, 14926. Now,
if we multiply 14 by 926, the result is 12964, which contains the same
five figures. The number of the motor-car was therefore 14926.
Here are the other eleven numbers:--24651, 42678, 51246, 57834, 75231,
78624, 87435, 72936, 65281, 65983, and 86251.
Compare with the problems in "Digital Puzzles," section of _A. in M._,
and with Nos. 93 and 101 in these pages.