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Search: id:A045977
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| A045977 |
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Smallest number with same number of divisors as n!. |
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+0
1
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| 1, 1, 2, 6, 24, 120, 720, 5040, 27720, 166320, 1940400, 25225200, 230630400, 3920716800, 16295479200, 97772875200, 321253732800, 9316358251200, 767582252236800, 20724720810393600, 303962571885772800
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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Don McDonald to sci.math Mar 20 1999
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EXAMPLE
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8!=40320 has 96 divisors, but 27720 is smaller with also 96 divisors. 9!=362880 has 160 divisors, but 166320 is smaller.
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CROSSREFS
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Cf. A027423.
Sequence in context: A108889 A033645 A138113 this_sequence A072131 A067455 A033646
Adjacent sequences: A045974 A045975 A045976 this_sequence A045978 A045979 A045980
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KEYWORD
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nonn,nice
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AUTHOR
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Donald S McDonald (dsmc(AT)actrix.gen.nz), Mar 20 1999
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net)
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