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12068096 = 28174759
BaseRepresentation
bin101110000010…
…010100000000
3211201010022112
4232002110000
511042134341
61110354452
7204401645
oct56022400
924633275
1012068096
1168a2a37
12405ba28
132666cb1
141861dcc
1510d5aeb
hexb82500

12068096 has 72 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 5464064.

The previous prime is 12068041. The next prime is 12068099. The reversal of 12068096 is 69086021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12068099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204515 + ... + 204573.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 212068096 is an apocalyptic number.

12068096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12068096 is the 2006-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

12068096 is an abundant number, since it is smaller than the sum of its proper divisors (14422144).

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

12068096 is an equidigital number, since it uses as much as digits as its factorization.

12068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 12068096 is about 3473.9165217374. The cubic root of 12068096 is about 229.3750900469.

The spelling of 12068096 in words is "twelve million, sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 47 59 64 68 94 118 128 136 188 236 256 272 376 472 544 752 799 944 1003 1088 1504 1598 1888 2006 2176 2773 3008 3196 3776 4012 4352 5546 6016 6392 7552 8024 11092 12032 12784 15104 16048 22184 25568 32096 44368 47141 51136 64192 88736 94282 102272 128384 177472 188564 204544 256768 354944 377128 709888 754256 1508512 3017024 6034048 12068096