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12068728 = 237613533
BaseRepresentation
bin101110000010…
…011101111000
3211201011011221
4232002131320
511042144403
61110401424
7204403540
oct56023570
924634157
1012068728
1168a3461
124060274
132667379
141862320
1510d5dbd
hexb82778

12068728 has 32 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 5086080.

The previous prime is 12068711. The next prime is 12068729. The reversal of 12068728 is 82786021.

12068728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12068693 and 12068702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12068729) 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, 1650 + ... + 5182.

It is an arithmetic number, because the mean of its divisors is an integer number (821655).

Almost surely, 212068728 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 12068728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

12068728 is an abundant number, since it is smaller than the sum of its proper divisors (14224232).

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

12068728 is a wasteful number, since it uses less digits than its factorization.

12068728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 12068728 is about 3474.0074841600. The cubic root of 12068728 is about 229.3790940623.

The spelling of 12068728 in words is "twelve million, sixty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 3533 7066 14132 24731 28264 49462 98924 197848 215513 431026 862052 1508591 1724104 3017182 6034364 12068728