This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A234315 Let x(0)x(1)x(2)... x(q) denote the decimal expansion of n. Sequence lists the numbers n such that the suffix of decimal expansion x(2)... x(q) is the p-th divisor of n where p is the prefix of decimal expansion x(0)x(1). 1
 1280, 1872, 10020, 10050, 12040, 12500, 14200, 17200, 19250, 24150, 42336, 46920, 100020, 100032, 100125, 110176, 120160, 120200, 141250, 170040, 180300, 190152, 200800, 220200, 220880, 222500, 230100, 240640, 251250, 260100, 262000, 270180, 270750, 291450 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 1872 is in the sequence because the divisors of 1872 are {1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872} and 72 is the 18th divisor of 1872. MAPLE with(numtheory):for n from 1000 to 500000 do:x:=convert(n, base, 10):n1:=nops(x):y:=divisors(n):n2:=nops(y):a:=x[n1]*10+x[n1-1]: s:=sum('x[i]*10^(i-1) ', 'i'=1..n1-2):if n2>a and y[a]=s then printf(`%d, `, n):else fi:od: CROSSREFS Cf. A234314. Sequence in context: A251894 A251791 A251784 * A251783 A224645 A237953 Adjacent sequences:  A234312 A234313 A234314 * A234316 A234317 A234318 KEYWORD nonn,base AUTHOR Michel Lagneau, Dec 23 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 7 20:33 EST 2019. Contains 329849 sequences. (Running on oeis4.)