Hyperbolic summation for the divisor function involving the integer part function

Let $\tau(n)$ be the function number of divisors of a positive integer $n\geq 1 $ and let $\lfloor{.}\rfloor$ denotes the greatest integer function. In this paper, we use the process B of the Van der Corput method to give an asymptotic formula of the sum $$\sum_{n_1n_2\leq x}\tau(\lfloor\frac{x}{n_1n_2}\rfloor).$$Comment: All remarks are welcom