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13004032 = 2879643
BaseRepresentation
bin110001100110…
…110100000000
3220110200011211
4301212310000
511312112112
61142415504
7215350426
oct61466400
926420154
1013004032
117382138
124431594
132903cc2
141a27116
15121d0a7
hexc66d00

13004032 has 36 divisors (see below), whose sum is σ = 26326720. Its totient is φ = 6409728.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004032 is 23040031.

It is a congruent number.

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, 19903 + ... + 20545.

Almost surely, 213004032 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 13004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163360).

13004032 is an abundant number, since it is smaller than the sum of its proper divisors (13322688).

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

13004032 is an frugal number, since it uses more digits than its factorization.

13004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 13004032 is about 3606.1103699138. The cubic root of 13004032 is about 235.1577754425.

Adding to 13004032 its reverse (23040031), we get a palindrome (36044063).

The spelling of 13004032 in words is "thirteen million, four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 643 1264 1286 2528 2572 5056 5144 10112 10288 20224 20576 41152 50797 82304 101594 164608 203188 406376 812752 1625504 3251008 6502016 13004032