#math trivia for #June11: #163 has three different digits where two (1,3) divide into the other (6). What’s the next number like this?
— Burt Kaliski Jr. (@modulomathy) June 12, 2012
The next number with three different digits where two divide into the other is 182.
Several numbers in between satisfy the divisibility requirement, but the digits are not distinct: 166, 171, 177, 181.
Because the “other” digit must have two distinct, smaller divisors, the only possible values it can have are 4, 6, 8 and 9.