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120150

120150 is an integer. It is even and composite. Its prime factorization is 2 × 3^3 × 5^2 × 89, which shows it is divisible by 2, 3, 5, and 89, among others. With exponents 1, 3, 2, and 1, the number has 48 positive divisors. The sum of its digits is 9, so the number is divisible by 9 and by extension by 3. It is also a Harshad number in base 10, since 120150 ÷ 9 equals 13350.

In decimal representation, 120150 ends with 0, indicating divisibility by 10 and by 50. Because its factorization

Context: In arithmetic and number theory, 120150 is used as an example of a moderately large composite

contains
2
and
5^2,
it
is
divisible
by
50,
75,
150,
and
many
multiples
arising
from
the
included
primes.
Its
square
root
is
approximately
346.7,
so
to
test
primality
only
divisors
up
to
that
bound
are
possible;
since
it
has
several
small
prime
factors,
it
is
clearly
not
prime.
number
with
a
nontrivial
factorization.
It
appears
in
problems
involving
divisibility,
factor
counting,
and
Harshad
numbers.
As
a
six-digit
even
number,
it
is
in
the
same
range
as
many
integers
used
in
enumerative
puzzles
and
numerical
demonstrations.