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12166016 = 27175591
BaseRepresentation
bin101110011010…
…001110000000
3211220002122012
4232122032000
511103303031
61112432052
7205260302
oct56321600
924802565
1012166016
11695a565
1240a8628
13269c735
141889972
151104b2b
hexb9a380

12166016 has 32 divisors (see below), whose sum is σ = 25667280. Its totient is φ = 5724160.

The previous prime is 12166013. The next prime is 12166019. The reversal of 12166016 is 61066121.

It is an interprime number because it is at equal distance from previous prime (12166013) and next prime (12166019).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12165982 and 12166000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 620 + ... + 4971.

Almost surely, 212166016 is an apocalyptic number.

12166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12166016 is an abundant number, since it is smaller than the sum of its proper divisors (13501264).

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

12166016 is an equidigital number, since it uses as much as digits as its factorization.

12166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12166016 is about 3487.9816513279. The cubic root of 12166016 is about 229.9937994548.

The spelling of 12166016 in words is "twelve million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5591 11182 22364 44728 89456 95047 178912 190094 357824 380188 715648 760376 1520752 3041504 6083008 12166016