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12105728 = 21123257
BaseRepresentation
bin101110001011…
…100000000000
3211210000221022
4232023200000
511044340403
61111245012
7204616445
oct56134000
924700838
1012105728
116919238
124079768
13267b16b
1418719cc
1510e1d38
hexb8b800

12105728 has 48 divisors (see below), whose sum is σ = 25356240. Its totient is φ = 5767168.

The previous prime is 12105647. The next prime is 12105733. The reversal of 12105728 is 82750121.

It is a junction number, because it is equal to n+sod(n) for n = 12105697 and 12105706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46976 + ... + 47232.

It is an arithmetic number, because the mean of its divisors is an integer number (528255).

Almost surely, 212105728 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 12105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678120).

12105728 is an abundant number, since it is smaller than the sum of its proper divisors (13250512).

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

12105728 is an equidigital number, since it uses as much as digits as its factorization.

12105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 12105728 is about 3479.3286708789. The cubic root of 12105728 is about 229.6132631236.

Adding to 12105728 its reverse (82750121), we get a palindrome (94855849).

The spelling of 12105728 in words is "twelve million, one hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 257 368 512 514 736 1024 1028 1472 2048 2056 2944 4112 5888 5911 8224 11776 11822 16448 23552 23644 32896 47104 47288 65792 94576 131584 189152 263168 378304 526336 756608 1513216 3026432 6052864 12105728