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11075168 = 251379337
BaseRepresentation
bin101010001111…
…111001100000
3202211200021102
4222033321200
510313401133
61033213532
7163065056
oct52177140
922750242
1011075168
116284a35
1238612a8
1323aa070
1416841d6
15e8b7e8
hexa8fe60

11075168 has 48 divisors (see below), whose sum is σ = 23849280. Its totient is φ = 5031936.

The previous prime is 11075161. The next prime is 11075171. The reversal of 11075168 is 86157011.

11075168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11075168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32696 + ... + 33032.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 211075168 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 11075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924640).

11075168 is an abundant number, since it is smaller than the sum of its proper divisors (12774112).

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

11075168 is a wasteful number, since it uses less digits than its factorization.

11075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 11075168 is about 3327.9374994131. The cubic root of 11075168 is about 222.9034417441.

The spelling of 11075168 in words is "eleven million, seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 337 416 632 674 1027 1264 1348 2054 2528 2696 4108 4381 5392 8216 8762 10784 16432 17524 26623 32864 35048 53246 70096 106492 140192 212984 346099 425968 692198 851936 1384396 2768792 5537584 11075168