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12737328 = 243793359
BaseRepresentation
bin110000100101…
…101100110000
3212222010022220
4300211230300
511230043303
61133001040
7213160032
oct60455460
925863286
1012737328
11720a81a
124323180
13283c7a6
141997c52
1511b9053
hexc25b30

12737328 has 40 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 4190784.

The previous prime is 12737327. The next prime is 12737339. The reversal of 12737328 is 82373721.

It is not an unprimeable number, because it can be changed into a prime (12737327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 212737328 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 12737328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

12737328 is an abundant number, since it is smaller than the sum of its proper divisors (20593872).

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

12737328 is a wasteful number, since it uses less digits than its factorization.

12737328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3443 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 12737328 is about 3568.9393382348. The cubic root of 12737328 is about 233.5390150117.

The spelling of 12737328 in words is "twelve million, seven hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3359 3792 6718 10077 13436 20154 26872 40308 53744 80616 161232 265361 530722 796083 1061444 1592166 2122888 3184332 4245776 6368664 12737328