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12192468 = 22317591013
BaseRepresentation
bin101110100000…
…101011010100
3211221102220220
4232200223110
511110124333
61113154340
7205430361
oct56405324
924842826
1012192468
116978422
1240bb9b0
1326ab7a2
141895468
15110c8b3
hexba0ad4

12192468 has 48 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 3756544.

The previous prime is 12192449. The next prime is 12192469. The reversal of 12192468 is 86429121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11530 + ... + 12542.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 212192468 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 12192468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

12192468 is an abundant number, since it is smaller than the sum of its proper divisors (18470892).

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

12192468 is a wasteful number, since it uses less digits than its factorization.

12192468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12192468 is about 3491.7714701853. The cubic root of 12192468 is about 230.1603670494.

The spelling of 12192468 in words is "twelve million, one hundred ninety-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 1013 2006 2026 3009 3039 4012 4052 6018 6078 12036 12156 17221 34442 51663 59767 68884 103326 119534 179301 206652 239068 358602 717204 1016039 2032078 3048117 4064156 6096234 12192468