A061707 - OEIS

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A061707

Smallest number with exactly n^2 divisors.

1, 6, 36, 120, 1296, 1260, 46656, 7560, 44100, 45360, 60466176, 110880, 2176782336, 1632960, 1587600, 1081080, 2821109907456, 3880800, 101559956668416, 6486480, 57153600, 2116316160, 131621703842267136, 21621600, 1944810000, 76187381760 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	FORMULA	`a(n)=Min{x\|d(x)=n^2}=A005179[A000290(n)] Also: A000005[a(n)]=A000290(n)`
	EXAMPLE	`n = 6: a(6) = 1260 = 2.2.3.3.5.7 and d[1260] = 36. For n = prime see A061234.`
	CROSSREFS	`Cf. A005179, A000290, A000005, A061234.` `Sequence in context: A207421 A207427 A083374 * A056375 A018214 A181478` `Adjacent sequences: A061704 A061705 A061706 * A061708 A061709 A061710`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jun 19 2001`
	EXTENSIONS	`More terms from Don Reble (djr(AT)nk.ca), Nov 08 2001` `Offset corrected by Hagen von Eitzen (math(AT)von-eitzen.de), Jun 05 2009` `a(24)-a(26) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 19 2009`

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.