Question 7
An integer is digitally divisible if
(a) none of its digits is zero;
(b) it is divisible by the sum of its digits (e.g., $322$ is digitally divisible).
Show that there are infinitely many digitally divisible integers.
(a) none of its digits is zero;
(b) it is divisible by the sum of its digits (e.g., $322$ is digitally divisible).
Show that there are infinitely many digitally divisible integers.