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11744768 = 29729113
BaseRepresentation
bin101100110011…
…011000000000
3211002200210102
4230303120000
511001313033
61055421532
7201554210
oct54633000
924080712
1011744768
1166a2022
123b248a8
132582a89
1417ba240
15106ede8
hexb33600

11744768 has 80 divisors (see below), whose sum is σ = 27989280. Its totient is φ = 4816896.

The previous prime is 11744731. The next prime is 11744779. The reversal of 11744768 is 86744711.

It is a congruent number.

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, 103880 + ... + 103992.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 211744768 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 11744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640).

11744768 is an abundant number, since it is smaller than the sum of its proper divisors (16244512).

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

11744768 is an equidigital number, since it uses as much as digits as its factorization.

11744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 11744768 is about 3427.0640495911. The cubic root of 11744768 is about 227.3080488520.

The spelling of 11744768 in words is "eleven million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 113 116 128 203 224 226 232 256 406 448 452 464 512 791 812 896 904 928 1582 1624 1792 1808 1856 3164 3248 3277 3584 3616 3712 6328 6496 6554 7232 7424 12656 12992 13108 14464 14848 22939 25312 25984 26216 28928 45878 50624 51968 52432 57856 91756 101248 103936 104864 183512 202496 209728 367024 404992 419456 734048 838912 1468096 1677824 2936192 5872384 11744768