Harshad Number - Multiple Harshad Numbers

Multiple Harshad Numbers

Bloem (2005) defines a multiple Harshad number as a Harshad number that, when divided by the sum of its digits, produces another Harshad number. He states that 6804 is "MHN-3" on the grounds that

\begin{array}{l} 6804/18=378\\ 378/18=21\\ 21/3=7 \end{array}

and went on to show that 2016502858579884466176 is MHN-12. The number 10080000000000 = 1008·1010, which is smaller, is also MHN-12. In general, 1008·10n is MHN-(n+2).

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