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12514304 = 210112101
BaseRepresentation
bin101111101111…
…010000000000
3212112210101202
4233233100000
511200424204
61124120332
7211240565
oct57572000
925483352
1012514304
117078200
1242360a8
13279211a
14193a86c
151172e1e
hexbef400

12514304 has 66 divisors (see below), whose sum is σ = 27769602. Its totient is φ = 5632000.

The previous prime is 12514303. The next prime is 12514321. The reversal of 12514304 is 40341521.

It can be written as a sum of positive squares in only one way, i.e., 12390400 + 123904 = 3520^2 + 352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514303) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 123854 + ... + 123954.

Almost surely, 212514304 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 12514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884801).

12514304 is an abundant number, since it is smaller than the sum of its proper divisors (15255298).

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

12514304 is a wasteful number, since it uses less digits than its factorization.

12514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12514304 is about 3537.5562186346. The cubic root of 12514304 is about 232.1679323176.

Adding to 12514304 its reverse (40341521), we get a palindrome (52855825).

It can be divided in two parts, 1251 and 4304, that added together give a palindrome (5555).

The spelling of 12514304 in words is "twelve million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 128 176 202 242 256 352 404 484 512 704 808 968 1024 1111 1408 1616 1936 2222 2816 3232 3872 4444 5632 6464 7744 8888 11264 12221 12928 15488 17776 24442 25856 30976 35552 48884 51712 61952 71104 97768 103424 123904 142208 195536 284416 391072 568832 782144 1137664 1564288 3128576 6257152 12514304