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13024384 = 27971049
BaseRepresentation
bin110001101011…
…110010000000
3220111201002121
4301223302000
511313240014
61143054024
7215463652
oct61536200
926451077
1013024384
11739645a
124441314
132910349
141a306d2
151224124
hexc6bc80

13024384 has 32 divisors (see below), whose sum is σ = 26239500. Its totient is φ = 6438912.

The previous prime is 13024357. The next prime is 13024391. The reversal of 13024384 is 48342031.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 577600 = 3528^2 + 760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11892 + ... + 12940.

Almost surely, 213024384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119750).

13024384 is an abundant number, since it is smaller than the sum of its proper divisors (13215116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13024384 is an equidigital number, since it uses as much as digits as its factorization.

13024384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 13024384 is about 3608.9311437045. The cubic root of 13024384 is about 235.2803896304.

The spelling of 13024384 in words is "thirteen million, twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1049 1552 2098 3104 4196 6208 8392 12416 16784 33568 67136 101753 134272 203506 407012 814024 1628048 3256096 6512192 13024384