Search a number
-
+
12297264 = 243736599
BaseRepresentation
bin101110111010…
…010000110000
3212010202200020
4232322100300
511122003024
61115323440
7206345040
oct56722060
925122606
1012297264
116a3a131
124150580
1327173b5
1418c1720
15112d979
hexbba430

12297264 has 40 divisors (see below), whose sum is σ = 36307200. Its totient is φ = 3513408.

The previous prime is 12297227. The next prime is 12297277. The reversal of 12297264 is 46279221.

It is a nialpdrome in base 16.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17964 + ... + 18635.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 212297264 is an apocalyptic number.

12297264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12297264 is an abundant number, since it is smaller than the sum of its proper divisors (24009936).

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

12297264 is a wasteful number, since it uses less digits than its factorization.

12297264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36617 (or 36611 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 12297264 is about 3506.7454997476. The cubic root of 12297264 is about 230.8179071336.

It can be divided in two parts, 12297 and 264, that added together give a triangular number (12561 = T158).

The spelling of 12297264 in words is "twelve million, two hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 36599 73198 109797 146396 219594 256193 292792 439188 512386 585584 768579 878376 1024772 1537158 1756752 2049544 3074316 4099088 6148632 12297264