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11528216 = 237415021
BaseRepresentation
bin101011111110…
…100000011000
3210200200201222
4223332200120
510422400331
61051031212
7166662650
oct53764030
923620658
1011528216
116564357
123a3b508
13250833b
141761360
15102ab7b
hexafe818

11528216 has 32 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 4819200.

The previous prime is 11528213. The next prime is 11528263. The reversal of 11528216 is 61282511.

11528216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11528213) 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, 215 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 211528216 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 11528216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

11528216 is an abundant number, since it is smaller than the sum of its proper divisors (13782664).

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

11528216 is a wasteful number, since it uses less digits than its factorization.

11528216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5071 counting only the distinct ones).

The product of its digits is 960, while the sum is 26.

The square root of 11528216 is about 3395.3226650791. The cubic root of 11528216 is about 225.9023255058.

The spelling of 11528216 in words is "eleven million, five hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 5021 10042 20084 35147 40168 70294 140588 205861 281176 411722 823444 1441027 1646888 2882054 5764108 11528216