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12105320 = 235472137
BaseRepresentation
bin101110001011…
…011001101000
3211210000101012
4232023121220
511044332240
61111243052
7204615323
oct56133150
924700335
1012105320
1169189a7
124079488
13267ac16
1418717ba
1510e1b65
hexb8b668

12105320 has 48 divisors (see below), whose sum is σ = 28031940. Its totient is φ = 4704512.

The previous prime is 12105319. The next prime is 12105341. The reversal of 12105320 is 2350121.

It is a happy number.

12105320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12096484 + 8836 = 3478^2 + 94^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12105295 and 12105304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88292 + ... + 88428.

Almost surely, 212105320 is an apocalyptic number.

12105320 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 12105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015970).

12105320 is an abundant number, since it is smaller than the sum of its proper divisors (15926620).

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

12105320 is a wasteful number, since it uses less digits than its factorization.

12105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12105320 is about 3479.2700383845. The cubic root of 12105320 is about 229.6106835385.

Adding to 12105320 its reverse (2350121), we get a palindrome (14455441).

The spelling of 12105320 in words is "twelve million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 137 188 235 274 376 470 548 685 940 1096 1370 1880 2209 2740 4418 5480 6439 8836 11045 12878 17672 22090 25756 32195 44180 51512 64390 88360 128780 257560 302633 605266 1210532 1513165 2421064 3026330 6052660 12105320