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11328114 = 237253727
BaseRepresentation
bin101011001101…
…101001110010
3210022112020210
4223031221302
510344444424
61042444550
7165200400
oct53155162
923275223
1011328114
116437a86
123963756
132468235
14170c470
15edb729
hexacda72

11328114 has 48 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 3171168.

The previous prime is 11328101. The next prime is 11328133. The reversal of 11328114 is 41182311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15219 + ... + 15945.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 211328114 is an apocalyptic number.

11328114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11328114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

11328114 is an abundant number, since it is smaller than the sum of its proper divisors (15561294).

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

11328114 is a wasteful number, since it uses less digits than its factorization.

11328114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 11328114 is about 3365.7263703397. The cubic root of 11328114 is about 224.5876496987.

The spelling of 11328114 in words is "eleven million, three hundred twenty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 727 742 1113 1454 2181 2226 2597 4362 5089 5194 7791 10178 15267 15582 30534 35623 38531 71246 77062 106869 115593 213738 231186 269717 539434 809151 1618302 1888019 3776038 5664057 11328114