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A066151
Smallest n-digit number with A066150(n) divisors.
7
6, 60, 840, 7560, 83160, 720720, 8648640, 73513440, 735134400, 6983776800, 97772875200, 963761198400, 9316358251200, 97821761637600, 866421317361600, 8086598962041600, 74801040398884800, 897612484786617600
OFFSET
1,1
COMMENTS
Also largest highly composite number(A002182) with n digits. - Amiram Eldar, Jul 02 2019
LINKS
FORMULA
a(n) = A005179(A066150(n)). - Max Alekseyev, Apr 29 2010
EXAMPLE
a(1) = 6 since 6 has 4 divisors and that is the record for 1-digit numbers.
a(1) = 6 since 6 has 4 divisors and k has at most 3 divisors for k < 6 and not more than 4 divisors for 6 < k <= 9.
PROG
(PARI) a066151(m, n) = local(d, a, k, b, c); for(d=m, n, a=0; for(k=10^d, 10^(d+1)-1, b=numdiv(k); if(b>a, a=b; c=k)); print1(c, ", "))
CROSSREFS
Cf. A005179, A066150. Subsequence of A002182.
Sequence in context: A101470 A367472 A375721 * A339191 A000407 A099708
KEYWORD
nonn,base,easy
AUTHOR
N. J. A. Sloane, Dec 13 2001
EXTENSIONS
More terms from Klaus Brockhaus, Dec 17 2001
More terms from David Wasserman, Jan 25 2002
STATUS
approved