Generalised Divisor Function

$\large A = \sum _{k=1}^{\infty }\dfrac{M_{10}(k)}{k^3}$

Given that $$M_{n}(k)$$ is the sum of all divisors of $$k$$ that is greater than $$n$$, find $$\left\lfloor 10000A \right\rfloor$$.

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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