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12506304 = 263531229
BaseRepresentation
bin101111101101…
…010011000000
3212112101102110
4233231103000
511200200204
61124015320
7211205346
oct57552300
925471373
1012506304
117072198
124231540
13278b5a5
141937996
151170889
hexbed4c0

12506304 has 56 divisors (see below), whose sum is σ = 33741360. Its totient is φ = 4086784.

The previous prime is 12506303. The next prime is 12506311. The reversal of 12506304 is 40360521.

It is a happy number.

12506304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12506303) 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, 9562 + ... + 10790.

Almost surely, 212506304 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 12506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870680).

12506304 is an abundant number, since it is smaller than the sum of its proper divisors (21235056).

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

12506304 is a wasteful number, since it uses less digits than its factorization.

12506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12506304 is about 3536.4253137879. The cubic root of 12506304 is about 232.1184492253.

Adding to 12506304 its reverse (40360521), we get a palindrome (52866825).

The spelling of 12506304 in words is "twelve million, five hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1229 1272 1696 2458 2544 3392 3687 4916 5088 7374 9832 10176 14748 19664 29496 39328 58992 65137 78656 117984 130274 195411 235968 260548 390822 521096 781644 1042192 1563288 2084384 3126576 4168768 6253152 12506304