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12068568 = 233359947
BaseRepresentation
bin101110000010…
…011011011000
3211201010222000
4232002123120
511042143233
61110401000
7204403221
oct56023330
924633860
1012068568
1168a3326
124060160
132667285
141862248
1510d5d13
hexb826d8

12068568 has 64 divisors (see below), whose sum is σ = 34128000. Its totient is φ = 3950496.

The previous prime is 12068561. The next prime is 12068597. The reversal of 12068568 is 86586021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12068561) 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, 12271 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (533250).

Almost surely, 212068568 is an apocalyptic number.

12068568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12068568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064000).

12068568 is an abundant number, since it is smaller than the sum of its proper divisors (22059432).

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

12068568 is a wasteful number, since it uses less digits than its factorization.

12068568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12068568 is about 3473.9844559238. The cubic root of 12068568 is about 229.3780804007.

The spelling of 12068568 in words is "twelve million, sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 947 1062 1416 1593 1894 2124 2841 3186 3788 4248 5682 6372 7576 8523 11364 12744 17046 22728 25569 34092 51138 55873 68184 102276 111746 167619 204552 223492 335238 446984 502857 670476 1005714 1340952 1508571 2011428 3017142 4022856 6034284 12068568