Henry Ernest Dudeney/Puzzles and Curious Problems/167 - The Cancelled Cheque

Puzzles and Curious Problems by Henry Ernest Dudeney: $167$

The Cancelled Cheque

Bankers at a certain bank would cancel their paid cheques by punching star-shaped holes in them.

There was a case in which they happened to punch out the $6$ figures that form the number of the cheque.

The puzzle is to find out what those figures were.

It was a square number multiplied by $113$, and when divided into three $2$-figure numbers,

each of these three numbers was a square number.

Can you find the number of the cheque?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $167$. -- The Cancelled Cheque