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3105696 = 2531117173
BaseRepresentation
bin1011110110001110100000
312211210012210
423312032200
51243340241
6150322120
735253336
oct13661640
95753183
103105696
1118313a0
121059340
138497b9
145abb56
15415316
hex2f63a0

3105696 has 96 divisors (see below), whose sum is σ = 9471168. Its totient is φ = 880640.

The previous prime is 3105691. The next prime is 3105703. The reversal of 3105696 is 6965013.

It is a happy number.

3105696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3105691) 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, 17866 + ... + 18038.

It is an arithmetic number, because the mean of its divisors is an integer number (98658).

Almost surely, 23105696 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 3105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735584).

3105696 is an abundant number, since it is smaller than the sum of its proper divisors (6365472).

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

3105696 is a wasteful number, since it uses less digits than its factorization.

3105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3105696 is about 1762.2984991198. The cubic root of 3105696 is about 145.8992236309.

It can be divided in two parts, 310 and 5696, that added together give a palindrome (6006).

The spelling of 3105696 in words is "three million, one hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 173 176 187 204 264 272 346 352 374 408 519 528 544 561 692 748 816 1038 1056 1122 1384 1496 1632 1903 2076 2244 2768 2941 2992 3806 4152 4488 5536 5709 5882 5984 7612 8304 8823 8976 11418 11764 15224 16608 17646 17952 22836 23528 30448 32351 35292 45672 47056 60896 64702 70584 91344 94112 97053 129404 141168 182688 194106 258808 282336 388212 517616 776424 1035232 1552848 3105696