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12394112 = 27372617
BaseRepresentation
bin101111010001…
…111010000000
3212022200112012
4233101322000
511133102422
61121352052
7210230303
oct57217200
925280465
1012394112
116aa5975
124198628
13274c4c3
141908b3a
15114c4e2
hexbd1e80

12394112 has 32 divisors (see below), whose sum is σ = 25368420. Its totient is φ = 6027264.

The previous prime is 12394111. The next prime is 12394121. The reversal of 12394112 is 21149321.

It can be written as a sum of positive squares in 2 ways, for example, as 9096256 + 3297856 = 3016^2 + 1816^2 .

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

It is a super-2 number, since 2×123941122 = 307228024537088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12394111) 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 3 ways as a sum of consecutive naturals, for example, 3428 + ... + 6044.

Almost surely, 212394112 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 12394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684210).

12394112 is an abundant number, since it is smaller than the sum of its proper divisors (12974308).

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

12394112 is an equidigital number, since it uses as much as digits as its factorization.

12394112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2656 counting only the distinct ones).

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

The square root of 12394112 is about 3520.5272332422. The cubic root of 12394112 is about 231.4222644364.

The spelling of 12394112 in words is "twelve million, three hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2617 4736 5234 10468 20936 41872 83744 96829 167488 193658 334976 387316 774632 1549264 3098528 6197056 12394112