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12166260 = 2235312211
BaseRepresentation
bin101110011010…
…010001110100
3211220002222020
4232122101310
511103310020
61112433140
7205261101
oct56322164
924802866
1012166260
11695a767
1240a87b0
13269c892
141889aa8
151104c40
hexb9a474

12166260 has 72 divisors (see below), whose sum is σ = 35366688. Its totient is φ = 3124800.

The previous prime is 12166249. The next prime is 12166261. The reversal of 12166260 is 6266121.

12166260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12166260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57555 + ... + 57765.

It is an arithmetic number, because the mean of its divisors is an integer number (491204).

Almost surely, 212166260 is an apocalyptic number.

12166260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683344).

12166260 is an abundant number, since it is smaller than the sum of its proper divisors (23200428).

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

12166260 is a wasteful number, since it uses less digits than its factorization.

12166260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12166260 is about 3488.0166284007. The cubic root of 12166260 is about 229.9953370195.

The spelling of 12166260 in words is "twelve million, one hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 211 310 372 422 465 620 633 844 930 961 1055 1266 1860 1922 2110 2532 2883 3165 3844 4220 4805 5766 6330 6541 9610 11532 12660 13082 14415 19220 19623 26164 28830 32705 39246 57660 65410 78492 98115 130820 196230 202771 392460 405542 608313 811084 1013855 1216626 2027710 2433252 3041565 4055420 6083130 12166260