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11808768 = 2123312
BaseRepresentation
bin101101000011…
…000000000000
3211012221120210
4231003000000
511010340033
61101034120
7202241616
oct55030000
924187523
1011808768
116736114
123b55940
1325a5c4a
1417d56b6
151083d63
hexb43000

11808768 has 78 divisors (see below), whose sum is σ = 32534652. Its totient is φ = 3809280.

The previous prime is 11808749. The next prime is 11808781. The reversal of 11808768 is 86780811.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 380913 + ... + 380943.

Almost surely, 211808768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267326).

11808768 is an abundant number, since it is smaller than the sum of its proper divisors (20725884).

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

11808768 is an frugal number, since it uses more digits than its factorization.

11808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 11808768 is about 3436.3888022167. The cubic root of 11808768 is about 227.7201861315.

The spelling of 11808768 in words is "eleven million, eight hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1024 1488 1536 1922 1984 2048 2883 2976 3072 3844 3968 4096 5766 5952 6144 7688 7936 11532 11904 12288 15376 15872 23064 23808 30752 31744 46128 47616 61504 63488 92256 95232 123008 126976 184512 190464 246016 369024 380928 492032 738048 984064 1476096 1968128 2952192 3936256 5904384 11808768