TST TAJIKISTAN 2018 Day 3 Problem 1
Source:
July 10, 2018
TajikistanIMO TST 2018
Problem Statement
Problem 7. On the board, Sabir writes 10 consecutive numbers. For each number, Salim writes the sum of its digits on his paper, and Sabrina writes the number of its divisors on her paper. Is it possible for Sabrina’s 10 numbers to be exactly the same as Salim’s 10 numbers in some order? (the repetitions of the numbers should also be the same)