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12966324 = 2237163947
BaseRepresentation
bin110001011101…
…100110110100
3220101202110020
4301131212310
511304410244
61141525140
7215132460
oct61354664
926352406
1012966324
117356878
1244137b0
1328bcaa7
141a174a0
151211d19
hexc5d9b4

12966324 has 48 divisors (see below), whose sum is σ = 34825728. Its totient is φ = 3678048.

The previous prime is 12966323. The next prime is 12966329. The reversal of 12966324 is 42366921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12966323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13219 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (725536).

Almost surely, 212966324 is an apocalyptic number.

12966324 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 12966324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412864).

12966324 is an abundant number, since it is smaller than the sum of its proper divisors (21859404).

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

12966324 is a wasteful number, since it uses less digits than its factorization.

12966324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1122 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 12966324 is about 3600.8782262109. The cubic root of 12966324 is about 234.9302584657.

The spelling of 12966324 in words is "twelve million, nine hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 947 978 1141 1894 1956 2282 2841 3423 3788 4564 5682 6629 6846 11364 13258 13692 19887 26516 39774 79548 154361 308722 463083 617444 926166 1080527 1852332 2161054 3241581 4322108 6483162 12966324