Consider the set of the first one hundred natural numbers {0,1,2,3,…,99}. Let k be the sum  of digits of a number in the set. Find the value of k such that the number of numbers whose digits add up to the same value is a maximum.

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 Consider the set of the first one hundred natural numbers {0,1,2,3,…,99}. Let k be the sum  of digits of a number in the set. Find the value of k such that the number of numbers whose digits add up to the same value is a maximum.

A 4 - digits numbers divisible by all of the numbers from 1 to 10 without any remainder. Find the smallest possible value of the 4-digits number

A 4 - digits numbers divisible by all of the numbers from 1 to 10 without any remainder. Find the smallest possible value of the 4-digits number

The numbers 53 and 134 have the same sum of their digits (5+3=8 and 1+3+4=8). What is the first number greater than 2006 such that the sum of its digits is the same as the sum of the digits of 2006?

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   In some of the numbers the sum of the digits is 2013. How many digits does the smallest such number have?

If the sum of first n natural numbers starting with 1 is a 3 digit number with identical digits, find n.

A 4 - digits numbers divisible by all of the numbers from 1 to 10 without any remainder. Find the smallest possible value of the 4-digits number