

A271239


Numbers n such that n is divisible by the median of its digits.


1



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 20, 21, 22, 24, 27, 30, 33, 36, 40, 42, 44, 45, 48, 50, 51, 54, 55, 60, 63, 66, 70, 72, 77, 80, 81, 84, 88, 90, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119
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OFFSET

1,2


COMMENTS

The first cases that are prime numbers :
a(2)=2;
a(3)=3;
a(5)=5;
a(7)=7;
a(11)=11;
a(44)=101;
a(46)=103;
a(50)=107.
The first difference from A180477 is that n = 100 is in that sequence but not here.


LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..10000


EXAMPLE

72 is a member because the median of its digits (7, 2) is 9/2 and 72 is divisible by 9/2 (i.e., the ratio 72/(9/2) is an integer).


MATHEMATICA

Select[Range[500], Quiet@ Divisible[#, Median@ IntegerDigits@ #] &] (* Giovanni Resta, Apr 08 2016 *)


CROSSREFS

Cf. A061384, A180477.
Sequence in context: A238368 A263808 A180477 * A083970 A246088 A071204
Adjacent sequences: A271236 A271237 A271238 * A271240 A271241 A271242


KEYWORD

nonn,base,easy


AUTHOR

José de Jesús Camacho Medina, Apr 02 2016


STATUS

approved



