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13824

13824 is a natural number that follows 13823 and precedes 13825. It is notable for being a perfect cube, as 13824 = 24^3.

Equivalently, its prime factorization is 2^9 * 3^3, since 24 = 2^3 * 3, so cubing yields 2^9 * 3^3.

The number has 40 positive divisors. The sum of all divisors is 40920, and the sum of

It is a Harshad number in base 10 because the sum of its digits is 1+3+8+2+4 = 18,

It is divisible by 27 and 512, so it is divisible by 3^3 and 2^9. As 24^3,

Because it is a perfect cube, 13824 is the volume of a cube with side length 24

proper
divisors
is
27096.
which
divides
13824
evenly
(13824/18
=
768).
its
cube
root
is
24.
units.
Its
factorization
shows
it
lies
in
the
intersection
of
powers
of
2
and
3,
a
characteristic
that
underpins
its
status
as
a
cube
of
an
even
integer.