9514 1404 393
Answer:
9
Explanation:
There are 9 such numbers:
1040, 2080, 3120, 4160, 5200, 6240, 7280, 8320, 9360
_____
For each ABCD, where BCD = x, we want ...
26x = 1000A +x
25x = 1000A
x = 40A
The digit A ranges from 1 to 9 for a 4-digit number. That means there are 9 such numbers. For A=1, for example, x = 40·1 = 40, so the number ABCD is 1040. 26·BCD = 26·040 = 1040 as required.