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12068192 = 251923863
BaseRepresentation
bin101110000010…
…010101100000
3211201010110002
4232002111200
511042140232
61110355132
7204402143
oct56022540
924633402
1012068192
1168a3014
12405baa8
132667056
14186205a
1510d5b62
hexb82560

12068192 has 48 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 5461632.

The previous prime is 12068191. The next prime is 12068197. The reversal of 12068192 is 29186021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12068191) 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, 13553 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 212068192 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 12068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

12068192 is an abundant number, since it is smaller than the sum of its proper divisors (14059168).

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

12068192 is a wasteful number, since it uses less digits than its factorization.

12068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12068192 is about 3473.9303389677. The cubic root of 12068192 is about 229.3756982608.

The spelling of 12068192 in words is "twelve million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 863 874 1726 1748 3452 3496 6904 6992 13808 13984 16397 19849 27616 32794 39698 65588 79396 131176 158792 262352 317584 377131 524704 635168 754262 1508524 3017048 6034096 12068192