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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
105
105
Part of
PEN A Problems
Problems
(1)
A 105
Source:
5/25/2007
Find the smallest positive integer
n
n
n
such that [*]
n
n
n
has exactly
144
144
144
distinct positive divisors, [*] there are ten consecutive integers among the positive divisors of
n
n
n
.
number theory
least common multiple
Divisibility Theory