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12686112 = 253314683
BaseRepresentation
bin110000011001…
…001100100000
3212212112002000
4300121030200
511221423422
61131524000
7212554515
oct60311440
925775060
1012686112
11718529a
1242b9600
13282239a
14198330c
1511a8cac
hexc19320

12686112 has 48 divisors (see below), whose sum is σ = 37003680. Its totient is φ = 4228416.

The previous prime is 12686111. The next prime is 12686117. The reversal of 12686112 is 21168621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (12686111) 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, 6478 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (770910).

Almost surely, 212686112 is an apocalyptic number.

12686112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12686112 is an abundant number, since it is smaller than the sum of its proper divisors (24317568).

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

12686112 is a wasteful number, since it uses less digits than its factorization.

12686112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14702 (or 14688 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12686112 is about 3561.7568698607. The cubic root of 12686112 is about 233.2255792714.

The spelling of 12686112 in words is "twelve million, six hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14683 29366 44049 58732 88098 117464 132147 176196 234928 264294 352392 396441 469856 528588 704784 792882 1057176 1409568 1585764 2114352 3171528 4228704 6343056 12686112