A066150 Maximal number of divisors of any n-digit number.

4, 12, 32, 64, 128, 240, 448, 768, 1344, 2304, 4032, 6720, 10752, 17280, 26880, 41472, 64512, 103680, 161280, 245760, 368640, 552960, 860160, 1290240, 1966080, 2764800, 4128768, 6193152, 8957952, 13271040, 19660800, 28311552, 41287680, 59719680, 88473600, 127401984, 181665792, 264241152, 382205952, 530841600

Offset: 1

Author

Joseph L. Pe, Dec 12 2001

Keywords

• nonn
• base
• easy

Examples

			a(1) = 4 since 8 has 4 divisors and that is the record for 1-digit numbers.
		

Links

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

Crossrefs

Cf. A000005, A066151, A069650,

Cf. A130130 (minimal number of divisors of any n-digit number). [Jaroslav Krizek, Jul 18 2010]

Programs

PARI

a066150(m,n) = local(d,a,k,b); for(d=m,n,a=0; for(k=10^d,10^(d+1)-1,b =numdiv(k); if(b>a,a=b)); print1(a,","))
a066150(0,6)

Formula

a(n) = largest integer m such that A005179(m) < 10^n. - Max Alekseyev, Apr 29 2010

a(n) = A000005(A066151(n)). - Amiram Eldar, Jul 02 2019

Extensions

One more term from Klaus Brockhaus, Dec 13 2001

Further terms from Vladeta Jovovic and Vladimir Baltic, Dec 16 2001

Extended further by David Wasserman, Jan 25 2002