Search a number
-
+
12686328 = 233358733
BaseRepresentation
bin110000011001…
…001111111000
3212212112101000
4300121033320
511221430303
61131525000
7212555244
oct60311770
925775330
1012686328
117185476
1242b9760
132822505
141983424
1511a8da3
hexc193f8

12686328 has 32 divisors (see below), whose sum is σ = 35240400. Its totient is φ = 4228704.

The previous prime is 12686321. The next prime is 12686329. The reversal of 12686328 is 82368621.

12686328 is a `hidden beast` number, since 12 + 6 + 8 + 632 + 8 = 666.

12686328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12686292 and 12686301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686321) 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, 29151 + ... + 29582.

Almost surely, 212686328 is an apocalyptic number.

12686328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12686328 is an abundant number, since it is smaller than the sum of its proper divisors (22554072).

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

12686328 is a wasteful number, since it uses less digits than its factorization.

12686328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58748 (or 58738 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12686328 is about 3561.7871918463. The cubic root of 12686328 is about 233.2269029352.

The spelling of 12686328 in words is "twelve million, six hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 58733 117466 176199 234932 352398 469864 528597 704796 1057194 1409592 1585791 2114388 3171582 4228776 6343164 12686328