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12306048 = 27373439
BaseRepresentation
bin101110111100…
…011010000000
3212011012201120
4232330122000
511122243143
61115432240
7206412456
oct56743200
925135646
1012306048
116a45797
124155680
13271b3b1
1418c49d6
151131383
hexbbc680

12306048 has 64 divisors (see below), whose sum is σ = 33211200. Its totient is φ = 4036608.

The previous prime is 12306037. The next prime is 12306061. The reversal of 12306048 is 84060321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27813 + ... + 28251.

It is an arithmetic number, because the mean of its divisors is an integer number (518925).

Almost surely, 212306048 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 12306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605600).

12306048 is an abundant number, since it is smaller than the sum of its proper divisors (20905152).

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

12306048 is an equidigital number, since it uses as much as digits as its factorization.

12306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12306048 is about 3507.9977194975. The cubic root of 12306048 is about 230.8728521993.

Adding to 12306048 its reverse (84060321), we get a palindrome (96366369).

The spelling of 12306048 in words is "twelve million, three hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 439 584 876 878 1168 1317 1752 1756 2336 2634 3504 3512 4672 5268 7008 7024 9344 10536 14016 14048 21072 28032 28096 32047 42144 56192 64094 84288 96141 128188 168576 192282 256376 384564 512752 769128 1025504 1538256 2051008 3076512 4102016 6153024 12306048