A066151 Smallest n-digit number with A066150(n) divisors.

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

Amiram Eldar, Table of n, a(n) for n = 1..1000

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: A302102 A168478 A101470 * A339191 A000407 A099708

Adjacent sequences: A066148 A066149 A066150 * A066152 A066153 A066154

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