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12140288 = 28471009
BaseRepresentation
bin101110010011…
…111100000000
3211211210100022
4232103330000
511101442123
61112113012
7205122266
oct56237400
924753308
1012140288
1169421a6
124095768
132690b04
141880436
1510ec1c8
hexb93f00

12140288 has 36 divisors (see below), whose sum is σ = 24773280. Its totient is φ = 5935104.

The previous prime is 12140287. The next prime is 12140291. The reversal of 12140288 is 88204121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140287) 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, 11528 + ... + 12536.

Almost surely, 212140288 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 12140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386640).

12140288 is an abundant number, since it is smaller than the sum of its proper divisors (12632992).

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

12140288 is an equidigital number, since it uses as much as digits as its factorization.

12140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 12140288 is about 3484.2916066254. The cubic root of 12140288 is about 229.8315590918.

The spelling of 12140288 in words is "twelve million, one hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1009 1504 2018 3008 4036 6016 8072 12032 16144 32288 47423 64576 94846 129152 189692 258304 379384 758768 1517536 3035072 6070144 12140288