Search a number
-
+
12264360 = 2335102203
BaseRepresentation
bin101110110010…
…001110101000
3212002002112120
4232302032220
511114424420
61114511240
7206150103
oct56621650
925062476
1012264360
116a17439
124135520
132705424
1418b373a
151123d40
hexbb23a8

12264360 has 32 divisors (see below), whose sum is σ = 36793440. Its totient is φ = 3270464.

The previous prime is 12264349. The next prime is 12264383. The reversal of 12264360 is 6346221.

12264360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12264360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50982 + ... + 51221.

It is an arithmetic number, because the mean of its divisors is an integer number (1149795).

Almost surely, 212264360 is an apocalyptic number.

12264360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264360 is an abundant number, since it is smaller than the sum of its proper divisors (24529080).

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

12264360 is a wasteful number, since it uses less digits than its factorization.

12264360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102217 (or 102213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12264360 is about 3502.0508277294. The cubic root of 12264360 is about 230.6118554358.

The spelling of 12264360 in words is "twelve million, two hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 102203 204406 306609 408812 511015 613218 817624 1022030 1226436 1533045 2044060 2452872 3066090 4088120 6132180 12264360