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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.

PROG

(PARI) a(n) = {my(k = 1); while (numdiv(k) != n^2, k++); k; } \\ Michel Marcus, Sep 05 2017

CROSSREFS

Cf. A000005, A000290, A005179, A061234.

Sequence in context: A253652 A083374 A264366 * A253945 A056375 A018214

Adjacent sequences:  A061704 A061705 A061706 * A061708 A061709 A061710

KEYWORD

nonn

AUTHOR

Labos Elemer, Jun 19 2001

EXTENSIONS

More terms from Don Reble, 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 February 20 04:15 EST 2018. Contains 299357 sequences. (Running on oeis4.)