{
  "aliases": [
    "all-harshad-number",
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  "body": "\n## Summary\n\nIn recreational mathematics, a **Harshad number** (or **Niven number**) in a given number base is an [[integer|0C4JS9RF5M]] that is divisible by the sum of its digits when written in that base. Harshad numbers in base $n$ are also known as **$n$-harshad** (or **$n$-Niven**) numbers. Because being a harshad number is determined according to the base the number is expressed in, a number can be a Harshad number many times over. So-called **Trans-harshad numerals** are sequences of the digits 0-9 which, in every base which uses all their digits, represent a Harshad number in that base.\n",
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  "markdown": "https://math2.tamnd.com/node/GK281PC7QT.md",
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  "name": "Harshad number",
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  "source": "https://github.com/tamnd/math2/blob/main/nodes/GK2/GK281PC7QT.md",
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  "tag": "GK281PC7QT",
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