# A Peculiar Number!

**Number Theory**Level 2

The digits \(1,2,3,4,5\) are each used once to compose a five digit number \(\overline{ABCDE}\), such that the three digit number \(\overline{ABC}\) is divisible by \(4\), \(\overline{BCD}\) is divisible by \(5\) and \(\overline{CDE}\) is divisible by \(3\).

Submit the value of the five digit number \(\overline{ABCDE}\) as your answer.