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12004224 = 27343727
BaseRepresentation
bin101101110010…
…101110000000
3211120212200220
4231302232000
511033113344
61105143040
7204014511
oct55625600
924525626
1012004224
116859a51
12402aa80
132643bbb
141846a08
1510c1c19
hexb72b80

12004224 has 64 divisors (see below), whose sum is σ = 32672640. Its totient is φ = 3902976.

The previous prime is 12004217. The next prime is 12004271. The reversal of 12004224 is 42240021.

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

It is a congruent number.

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, 16149 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 212004224 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 12004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336320).

12004224 is an abundant number, since it is smaller than the sum of its proper divisors (20668416).

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

12004224 is an equidigital number, since it uses as much as digits as its factorization.

12004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12004224 is about 3464.7112433795. The cubic root of 12004224 is about 228.9697079870.

Adding to 12004224 its reverse (42240021), we get a palindrome (54244245).

The spelling of 12004224 in words is "twelve million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 727 1032 1376 1454 2064 2181 2752 2908 4128 4362 5504 5816 8256 8724 11632 16512 17448 23264 31261 34896 46528 62522 69792 93056 93783 125044 139584 187566 250088 279168 375132 500176 750264 1000352 1500528 2000704 3001056 4001408 6002112 12004224