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A061707 Smallest number with exactly n^2 divisors. 1
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; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..26.

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: A207718 A225262 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, Jun 05 2009

a(24)-a(26) from Ray Chandler, Jun 19 2009

STATUS

approved

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Last modified May 19 04:33 EDT 2013. Contains 225428 sequences.