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12023904 = 253251499
BaseRepresentation
bin101101110111…
…100001100000
3211121212200210
4231313201200
511034231104
61105414120
7204126054
oct55674140
924555623
1012023904
116872812
12403a340
13264cb49
14184dc64
1510c7989
hexb77860

12023904 has 48 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3984000.

The previous prime is 12023881. The next prime is 12023909. The reversal of 12023904 is 40932021.

12023904 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23847 + ... + 24345.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 212023904 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 12023904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

12023904 is an abundant number, since it is smaller than the sum of its proper divisors (19728096).

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

12023904 is a wasteful number, since it uses less digits than its factorization.

12023904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12023904 is about 3467.5501438335. The cubic root of 12023904 is about 229.0947657337.

Adding to 12023904 its reverse (40932021), we get a palindrome (52955925).

The spelling of 12023904 in words is "twelve million, twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 499 502 753 998 1004 1497 1506 1996 2008 2994 3012 3992 4016 5988 6024 7984 8032 11976 12048 15968 23952 24096 47904 125249 250498 375747 500996 751494 1001992 1502988 2003984 3005976 4007968 6011952 12023904