An interesting number

Number Theory Level 3

Which 4-digit number, when multiplied by 4, has the same digits as in the original number, but in the reverse order?


The answer is 2178.

Arunsoumya Basu by Arunsoumya Basu , 18, India

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1 solution

Code 

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for a in range(1,10):
    for b in range(0,10):
        for c in range(0,10):
            for d in range(0,10):
                if (4*(1000*a+100*b+10*c+d)==(1000*d+100*c+10*b+a)):
                    print(1000*a+100*b+10*c+d)

Output 

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2178

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