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12308832 = 253279541
BaseRepresentation
bin101110111101…
…000101100000
3212011100112200
4232331011200
511122340312
61115453200
7206423544
oct56750540
925140480
1012308832
116a47898
124157200
13271c743
1418c5a24
1511320dc
hexbbd160

12308832 has 72 divisors (see below), whose sum is σ = 35511840. Its totient is φ = 4043520.

The previous prime is 12308831. The next prime is 12308839. The reversal of 12308832 is 23880321.

12308832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12308796 and 12308805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22482 + ... + 23022.

It is an arithmetic number, because the mean of its divisors is an integer number (493220).

Almost surely, 212308832 is an apocalyptic number.

12308832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12308832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755920).

12308832 is an abundant number, since it is smaller than the sum of its proper divisors (23203008).

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

12308832 is a wasteful number, since it uses less digits than its factorization.

12308832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12308832 is about 3508.3945046132. The cubic root of 12308832 is about 230.8902610257.

The spelling of 12308832 in words is "twelve million, three hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 541 632 711 948 1082 1264 1422 1623 1896 2164 2528 2844 3246 3792 4328 4869 5688 6492 7584 8656 9738 11376 12984 17312 19476 22752 25968 38952 42739 51936 77904 85478 128217 155808 170956 256434 341912 384651 512868 683824 769302 1025736 1367648 1538604 2051472 3077208 4102944 6154416 12308832