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16380

16380 is a natural number that follows 16379 and precedes 16381. It is an even, composite integer with several notable arithmetic properties.

Its prime factorization is 16380 = 2^2 × 3^2 × 5 × 7 × 13. From this factorization,

In different bases, 16380 has distinctive representations. In binary it is 11111111111100 (four times 4095, where

Digit-sum and divisibility properties are straightforward: the sum of digits is 1+6+3+8+0 = 18, so the number

As a practical note, 16,380 seconds equal 4 hours and 33 minutes, illustrating a simple time conversion.

the
total
number
of
positive
divisors
is
(2+1)×(2+1)×(1+1)×(1+1)×(1+1)
=
72,
indicating
a
relatively
large
divisor
set
for
a
number
of
its
size.
4095
=
2^12
−
1).
In
hexadecimal
it
is
0x3FFC,
and
in
octal
it
is
037774.
It
is
also
just
4
less
than
2^14
(16384),
highlighting
its
proximity
to
a
power
of
two.
is
divisible
by
9
and
by
3,
and
because
it
ends
in
0
it
is
divisible
by
5
and
by
10
as
well.
Thus,
it
is
divisible
by
18
and
by
many
of
its
smaller
prime
factors
implied
by
the
factorization.