#Playing with numbers

Computer Science Level 2

A positive integer is said to have satisfied a property $X$ if that integer is a multiple of the sum of its digits. At least how many consecutive integers, starting from 1, should be taken so that 2021 of them satisfy this property?

This is the first problem of a series. For more : #Playing with numbers-2 , #Playing with numbers-3 , #Playing with numbers-4 , #Playing with numbers-5

The answer is 12690.

2 solutions

Aryan Sanghi
May 11, 2021

Code

def sumd(x):
    s = 0
    while x > 0:
        s += x%10
        x = x//10
    return s

count, x = 0, 1

while count < 2021:
    count += (x%sumd(x) == 0)
    x += 1

print(x - 1)

Output

I tried to do it with Mathematics 😀

Aashay Agarwal - 2 days, 7 hours ago

Cool! It would be amazing if you'll share your solution with us!

Aryan Sanghi - 2 days, 7 hours ago

Rafsan Rcc
May 8, 2021

Here is the C code that I used

#Playing with numbers

The answer is 12690.

2 solutions

Code

Output

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