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11810664 = 233354679
BaseRepresentation
bin101101000011…
…011101101000
3211020001012000
4231003131220
511010420124
61101051000
7202250265
oct55033550
924201160
1011810664
116737588
123b56a60
1325a6a78
1417d626c
1510846c9
hexb43768

11810664 has 32 divisors (see below), whose sum is σ = 32808000. Its totient is φ = 3936816.

The previous prime is 11810657. The next prime is 11810683. The reversal of 11810664 is 46601811.

11810664 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 (27).

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, 27124 + ... + 27555.

It is an arithmetic number, because the mean of its divisors is an integer number (1025250).

Almost surely, 211810664 is an apocalyptic number.

It is an amenable number.

11810664 is an abundant number, since it is smaller than the sum of its proper divisors (20997336).

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

11810664 is a wasteful number, since it uses less digits than its factorization.

11810664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54694 (or 54684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11810664 is about 3436.6646621397. The cubic root of 11810664 is about 227.7323729622.

The spelling of 11810664 in words is "eleven million, eight hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 54679 109358 164037 218716 328074 437432 492111 656148 984222 1312296 1476333 1968444 2952666 3936888 5905332 11810664