A135100 Numbers which divide their digital sumorial (see A131383).

1, 3, 4, 15, 26, 2573, 17226, 19786, 22083, 58133, 67693, 223657, 376460, 464713, 497068, 2621204, 4553376, 6000136, 7671158, 13975944, 14074903, 52731198, 82594577

Offset: 1

Author

Hieronymus Fischer, Dec 24 2007

Keywords

• nonn
• base
• more

Examples

			a(5)=26, since 26 divides its digital sumorial, which is A131383(26)=182.
		

Crossrefs

Cf. A007953, A054899, A131383, A131451, A133620, A133900, A134599.

Programs

PARI

a=1;for(n=2,10^6,if(a%(n-1)==0,print1(n-1","));x=divisors(n);L=numdiv(n);a+=n; for(i=2,L-1,d=x[i];k=n;while(k%d==0,a-=d-1;k\=d))) \\ Robert Gerbicz, May 09 2008

Extensions

a(12)-a(15) from Robert Gerbicz, May 09 2008

a(16)-a(23) from Hieronymus Fischer, Jul 31 2008