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12132164 = 22111032677
BaseRepresentation
bin101110010001…
…111101000100
3211211101012102
4232101331010
511101212124
61112011232
7205056512
oct56217504
924741172
1012132164
116937090
124090b18
13268a1c5
14187b4b2
1510e9aae
hexb91f44

12132164 has 24 divisors (see below), whose sum is σ = 23395008. Its totient is φ = 5459040.

The previous prime is 12132151. The next prime is 12132217. The reversal of 12132164 is 46123121.

Adding to 12132164 its reverse (46123121), we get a palindrome (58255285).

12132164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a partition number, being equal to the number of ways a set of 78 identical objects can be partitioned into subset.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3194 + ... + 5870.

It is an arithmetic number, because the mean of its divisors is an integer number (974792).

Almost surely, 212132164 is an apocalyptic number.

It is an amenable number.

12132164 is a deficient number, since it is larger than the sum of its proper divisors (11262844).

12132164 is a wasteful number, since it uses less digits than its factorization.

12132164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2793 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 12132164 is about 3483.1256078413. The cubic root of 12132164 is about 229.7802816639.

The spelling of 12132164 in words is "twelve million, one hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 103 206 412 1133 2266 2677 4532 5354 10708 29447 58894 117788 275731 551462 1102924 3033041 6066082 12132164