# About:Highly composite number

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A highly composite number, sometimes called an antiprime number, is a positive integer with more divisors than any smaller positive integer has. The term was coined by Ramanujan (1915). However, Jean-Pierre Kahane has suggested that the concept might have been known to Plato, who set 5040 as the ideal number of citizens in a city as 5040 has more divisors than any numbers less than it. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller positive integer.

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• A highly composite number, sometimes called an antiprime number, is a positive integer with more divisors than any smaller positive integer has. The term was coined by Ramanujan (1915). However, Jean-Pierre Kahane has suggested that the concept might have been known to Plato, who set 5040 as the ideal number of citizens in a city as 5040 has more divisors than any numbers less than it. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller positive integer. The name can be somewhat misleading, as two highly composite numbers (1 and 2) are not actually composite numbers. (en)
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• 208732 (xsd:integer)
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• 19707 (xsd:nonNegativeInteger)
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• 1030510838 (xsd:integer)
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• Highly Composite Number (en)
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• HighlyCompositeNumber (en)
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• A highly composite number, sometimes called an antiprime number, is a positive integer with more divisors than any smaller positive integer has. The term was coined by Ramanujan (1915). However, Jean-Pierre Kahane has suggested that the concept might have been known to Plato, who set 5040 as the ideal number of citizens in a city as 5040 has more divisors than any numbers less than it. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller positive integer. (en)
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• Highly composite number (en)
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