Number System

Let $$n$$ be the least positive integer such that $$168$$ is a factor of $$1134^n$$. If $$m$$ is the least positive inte...

The number of all positive integers up to 500 with non-repeating digits is: ...

For some natural number $$ n $$, assume that $$ (15,000)! $$ is divisible by $$ (n!)! $$. The largest possible value of...

The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is: ...

Let $$ n $$ and $$ m $$ be two positive integers such that there are exactly 41 integers greater than $$ 8^m $$ and les...

The number of all natural numbers up to 1000 with non-repeating digits is: ...

The average of three distinct real numbers is 28. If the smallest number is increased by 7 and the largest number is re...