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12827304 = 2332731821
BaseRepresentation
bin110000111011…
…101010101000
3220010200202100
4300323222220
511240433204
61134533400
7214013250
oct60735250
926120670
1012827304
117271386
124367260
132871729
1419bc960
1511d5a39
hexc3baa8

12827304 has 96 divisors (see below), whose sum is σ = 41034240. Its totient is φ = 3542400.

The previous prime is 12827293. The next prime is 12827317. The reversal of 12827304 is 40372821.

12827304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15214 + ... + 16034.

It is an arithmetic number, because the mean of its divisors is an integer number (427440).

Almost surely, 212827304 is an apocalyptic number.

12827304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12827304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517120).

12827304 is an abundant number, since it is smaller than the sum of its proper divisors (28206936).

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

12827304 is a wasteful number, since it uses less digits than its factorization.

12827304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12827304 is about 3581.5225812495. The cubic root of 12827304 is about 234.0876288066.

It can be divided in two parts, 12827 and 304, that added together give a palindrome (13131).

The spelling of 12827304 in words is "twelve million, eight hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 821 868 1116 1302 1642 1736 1953 2232 2463 2604 3284 3906 4926 5208 5747 6568 7389 7812 9852 11494 14778 15624 17241 19704 22988 25451 29556 34482 45976 50902 51723 59112 68964 76353 101804 103446 137928 152706 178157 203608 206892 229059 305412 356314 413784 458118 534471 610824 712628 916236 1068942 1425256 1603413 1832472 2137884 3206826 4275768 6413652 12827304