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Numbers m that are not the quotient of a Zuckerman number divided by the product of its digits.
4

%I #14 Mar 17 2021 15:41:09

%S 10,15,16,20,24,25,26,30,32,35,38,39,40,42,43,47,50,54,55,58,60,62,65,

%T 70,71,73,75,78,80,85,87,90,92,95,99,100,105,107,108,110,115,116,117,

%U 119,120,123,125,127,130,131,135,137,138,139,140,141,142,145,146,147,150,155

%N Numbers m that are not the quotient of a Zuckerman number divided by the product of its digits.

%C The Zuckerman numbers (A007602) are the numbers that are divisible by the product of their digits (see link).

%C m is a term iff A056770(m) = 0.

%C All the multiples of 10 are terms.

%C Many numbers that end with 5 are terms, first exceptions < 1000: 5, 45, 255, 315, 505, ...

%H Giovanni Resta, <a href="http://www.numbersaplenty.com/set/Zuckerman_number/">Zuckerman numbers</a>, Numbers Aplenty.

%Y Cf. A007602, A056770, A288069.

%Y Cf. A003635 (similar for Niven numbers).

%K nonn,base

%O 1,1

%A _Bernard Schott_, Mar 16 2021