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11820264 = 233492511
BaseRepresentation
bin101101000101…
…110011101000
3211020112100120
4231011303220
511011222024
61101203240
7202320261
oct55056350
924215316
1011820264
116743815
123b60520
1325ab251
1417d9968
151087479
hexb45ce8

11820264 has 16 divisors (see below), whose sum is σ = 29550720. Its totient is φ = 3940080.

The previous prime is 11820257. The next prime is 11820301. The reversal of 11820264 is 46202811.

11820264 is digitally balanced in base 2 and base 4, because in such bases 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), and also a Moran number because the ratio is a prime number: 492511 = 11820264 / (1 + 1 + 8 + 2 + 0 + 2 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246232 + ... + 246279.

It is an arithmetic number, because the mean of its divisors is an integer number (1846920).

Almost surely, 211820264 is an apocalyptic number.

It is an amenable number.

11820264 is an abundant number, since it is smaller than the sum of its proper divisors (17730456).

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

11820264 is a wasteful number, since it uses less digits than its factorization.

11820264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492520 (or 492516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11820264 is about 3438.0610814818. The cubic root of 11820264 is about 227.7940584216.

The spelling of 11820264 in words is "eleven million, eight hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 492511 985022 1477533 1970044 2955066 3940088 5910132 11820264