# On Zumkeller Numbers

@inproceedings{Rao2009OnZN, title={On Zumkeller Numbers}, author={K. P. S. Bhaskara Rao and Yuejian Peng}, year={2009} }

Generalizing the concept of a perfect number, Sloane's sequences of integers A083207 lists the sequence of integers $n$ with the property: the positive factors of $n$ can be partitioned into two disjoint parts so that the sums of the two parts are equal. Following Clark et al., we shall call such integers, Zumkeller numbers. Generalizing this, Clark et al., call a number n a half-Zumkeller number if the positive proper factors of n can be partitioned into two disjoint parts so that the sums of… CONTINUE READING

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