Beautiful Numbers

A natural number is said to be beautiful of k-type iff it is divisible by $k$ and its complete digit sum is also $k$ .

Find the number of all the 7-type beautiful numbers $a$ such that $a<10,000$ .

Details and assumptions-

-By complete digit sum, it is meant that the repeated sum of the digits of a number until and unless a single digit number is obtained. As an explicit example, complete digit sum of $897$ is $6$ (because $8+9+7=24$ and $2+4=6$ ).