Ben created a new type of number called 'a digital number'. (He's bad at naming things.)
When a number equals the sum of all its digits times its position in the given set (1 to 1000), it is called 'a digital number'.
For example, 1 is a 'digital number', because: 1 * (1st position) = 1
423 is not a 'digital number', because: (4+2+3) * (423rd position) = 3807
How many 'digital' numbers are there inside the given set 1 to 1000?