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12039104 = 267211349
BaseRepresentation
bin101101111011…
…001111000000
3211122122112202
4231323033000
511040222404
61110012332
7204221300
oct55731700
924578482
1012039104
116883180
1240470a8
132656a3c
141855600
1510cc21e
hexb7b3c0

12039104 has 84 divisors (see below), whose sum is σ = 30403800. Its totient is φ = 4677120.

The previous prime is 12039073. The next prime is 12039107. The reversal of 12039104 is 40193021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12039107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34322 + ... + 34670.

It is an arithmetic number, because the mean of its divisors is an integer number (361950).

Almost surely, 212039104 is an apocalyptic number.

12039104 is a gapful number since it is divisible by the number (14) 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 12039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201900).

12039104 is an abundant number, since it is smaller than the sum of its proper divisors (18364696).

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

12039104 is a wasteful number, since it uses less digits than its factorization.

12039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12039104 is about 3469.7412007238. The cubic root of 12039104 is about 229.1912616835.

The spelling of 12039104 in words is "twelve million, thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 349 352 392 448 539 616 698 704 784 1078 1232 1396 1568 2156 2443 2464 2792 3136 3839 4312 4886 4928 5584 7678 8624 9772 11168 15356 17101 17248 19544 22336 26873 30712 34202 34496 39088 53746 61424 68404 78176 107492 122848 136808 156352 188111 214984 245696 273616 376222 429968 547232 752444 859936 1094464 1504888 1719872 3009776 6019552 12039104