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12027288 = 2337135507
BaseRepresentation
bin101101111000…
…010110011000
3211122001100010
4231320112120
511034333123
61105441520
7204141660
oct55702630
924561303
1012027288
116875309
1240402a0
132651550
1418511a0
1510c8993
hexb78598

12027288 has 64 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3171456.

The previous prime is 12027277. The next prime is 12027289. The reversal of 12027288 is 88272021.

It is a happy number.

12027288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12027289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570 + ... + 4937.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 212027288 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 12027288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

12027288 is an abundant number, since it is smaller than the sum of its proper divisors (24986472).

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

12027288 is a wasteful number, since it uses less digits than its factorization.

12027288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12027288 is about 3468.0380620749. The cubic root of 12027288 is about 229.1162558134.

The spelling of 12027288 in words is "twelve million, twenty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5507 11014 16521 22028 33042 38549 44056 66084 71591 77098 115647 132168 143182 154196 214773 231294 286364 308392 429546 462588 501137 572728 859092 925176 1002274 1503411 1718184 2004548 3006822 4009096 6013644 12027288