My New Mobile Number

Number Theory Level 4

I got a new mobile number which is of the form ######1729, and satisfies the following conditions:

  • Total no. of digits in my mobile number is 10.

  • The numbers you try inserting (######) are divisible by \(1729\).

    If you try to contact me by randomly inserting the missing digits, then what is the maximum no. of wrong attempts that you may face while trying to contact me.

Sandeep Bhardwaj by Sandeep Bhardwaj
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