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A positive integer which is divisible by the sum of all of its digits.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- The sum of digits of 24 is 2 + 4 = 6, and 24 is divisible by 6, so 24 is a Harshad number.
Meaning relationships
Synonyms: Niven number
Antonyms: none provided
Coined by Indian recreational mathematician D. R. Kaprekar, from Sanskrit हर्षद (harṣada, “giving joy”). The capitalization is likely based on mathematicians' incorrect assumption that harshad is a proper noun.
Across languages
Translations
2 source translations are retained for this English entry.
-
Italian:
numero di Harshad
— Translations
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Spanish:
número Harshad
— Translations