First Occurrence Of Floor(m/d(m))

[Leroy Quet]

I just submitted this sequence:

>%I A126888
>%S A126888 1,5,7,28,11,13,44,17,19,63,23,51,55,29
>%N A126888 a(n) is the smallest positive integer such that 
>floor(a(n)/d(a(n))) = n, where d(m) is the number of positive divisors of m.
>%C A126888 Does every term have a value? ie, Does every positive integer n 
>equal floor(m/d(m)) for some m?
>%Y A126888 A126889,A078709
>%O A126888 1
>%K A126888 ,more,nonn,

(Hopefully I didn't errr...)

Questions:

1) As noted in the C-line, I don't know if every term has a value. Do 
they? (I guess if some n's don't equal any floor(m/d(m))'s, then those 
terms of the sequence can just be 0, an arbitrary fix.)

2) Is there a related sequence of LARGEST positive integers {a(n)} where 
floor(a(n)/d(a(n))) = n?
In other words, is the number of m's where floor(m/d(m)) = n finite for 
all n? For some n?

(I bet this can all be answered by Hardy and Wright, but I don't have a 
copy.)

Thanks,
Leroy Quet