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12688188 = 2231737412
BaseRepresentation
bin110000011001…
…101100111100
3212212121220220
4300121230330
511222010223
61131541340
7212563542
oct60315474
925777826
1012688188
117186907
1242ba850
132823306
141983d92
1511a96e3
hexc19b3c

12688188 has 72 divisors (see below), whose sum is σ = 32998896. Its totient is φ = 3778560.

The previous prime is 12688187. The next prime is 12688201. The reversal of 12688188 is 88188621.

12688188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126881882 = 321980229446688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309448 + ... + 309488.

It is an arithmetic number, because the mean of its divisors is an integer number (458318).

Almost surely, 212688188 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 12688188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499448).

12688188 is an abundant number, since it is smaller than the sum of its proper divisors (20310708).

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

12688188 is a wasteful number, since it uses less digits than its factorization.

12688188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The square root of 12688188 is about 3562.0482871516. The cubic root of 12688188 is about 233.2383005290.

The spelling of 12688188 in words is "twelve million, six hundred eighty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 41 51 68 74 82 102 111 123 148 164 204 222 246 444 492 629 697 1258 1394 1517 1681 1887 2091 2516 2788 3034 3362 3774 4182 4551 5043 6068 6724 7548 8364 9102 10086 18204 20172 25789 28577 51578 57154 62197 77367 85731 103156 114308 124394 154734 171462 186591 248788 309468 342924 373182 746364 1057349 2114698 3172047 4229396 6344094 12688188