A $$4$$-digit integer is called a \textquotesingle d-number\textquotesingle{} if the thousands digit is divisive by all the other digits.  For example, $6231$ is a \textquotesingle d-number\textquotesingle{} because $6$ is divisible by $2$, $3$ and $1$.  How many $$4$$-digit numbers larger than $5000$ are \textquotesingle d-numbers\textquotesingle? 
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