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12004704 = 253273571
BaseRepresentation
bin101101110010…
…110101100000
3211120220100200
4231302311200
511033122304
61105145200
7204016065
oct55626540
924526320
1012004704
11685a348
12402b200
13264419a
141846c6c
1510c1e39
hexb72d60

12004704 has 72 divisors (see below), whose sum is σ = 34666632. Its totient is φ = 3939840.

The previous prime is 12004679. The next prime is 12004711. The reversal of 12004704 is 40740021.

It is a happy number.

12004704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×120047042 = 288225836255232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20739 + ... + 21309.

It is an arithmetic number, because the mean of its divisors is an integer number (481481).

Almost surely, 212004704 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 12004704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333316).

12004704 is an abundant number, since it is smaller than the sum of its proper divisors (22661928).

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

12004704 is a wasteful number, since it uses less digits than its factorization.

12004704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12004704 is about 3464.7805125289. The cubic root of 12004704 is about 228.9727598015.

Adding to 12004704 its reverse (40740021), we get a palindrome (52744725).

The spelling of 12004704 in words is "twelve million, four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 571 584 657 876 1142 1168 1314 1713 1752 2284 2336 2628 3426 3504 4568 5139 5256 6852 7008 9136 10278 10512 13704 18272 20556 21024 27408 41112 41683 54816 82224 83366 125049 164448 166732 250098 333464 375147 500196 666928 750294 1000392 1333856 1500588 2000784 3001176 4001568 6002352 12004704