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12182368 = 251153653
BaseRepresentation
bin101110011110…
…001101100000
3211220221001211
4232132031200
511104313433
61113035504
7205356052
oct56361540
924827054
1012182368
116970880
1240b5b94
1326a7003
1418918d2
1511098cd
hexb9e360

12182368 has 48 divisors (see below), whose sum is σ = 26698896. Its totient is φ = 5424640.

The previous prime is 12182351. The next prime is 12182369. The reversal of 12182368 is 86328121.

12182368 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 (12182369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18330 + ... + 18982.

It is an arithmetic number, because the mean of its divisors is an integer number (556227).

Almost surely, 212182368 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 12182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349448).

12182368 is an abundant number, since it is smaller than the sum of its proper divisors (14516528).

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

12182368 is a wasteful number, since it uses less digits than its factorization.

12182368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 12182368 is about 3490.3249132423. The cubic root of 12182368 is about 230.0967960564.

Subtracting 12182368 from its reverse (86328121), we obtain a triangular number (74145753 = T12177).

The spelling of 12182368 in words is "twelve million, one hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 653 848 1166 1306 1696 2332 2612 4664 5224 7183 9328 10448 14366 18656 20896 28732 34609 57464 69218 114928 138436 229856 276872 380699 553744 761398 1107488 1522796 3045592 6091184 12182368