A271239 Numbers n such that n is divisible by the median of its digits.

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

Offset: 1

Author

José de Jesús Camacho Medina, Apr 02 2016

Keywords

• nonn
• base
• easy

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.

Examples

			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).
		

Links

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

Crossrefs

Cf. A061384, A180477.

Programs

Mathematica

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