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11187328 = 27711231
BaseRepresentation
bin101010101011…
…010010000000
3210001101010111
4222223102000
510330443303
61035441104
7164043055
oct52532200
923041114
1011187328
116351229
1238b6194
132419129
1416b302c
15eaeb6d
hexaab480

11187328 has 32 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 5510400.

The previous prime is 11187317. The next prime is 11187329. The reversal of 11187328 is 82378111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11187328.

It is not an unprimeable number, because it can be changed into a prime (11187329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8473 + ... + 9703.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 211187328 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 11187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

11187328 is an abundant number, since it is smaller than the sum of its proper divisors (11432192).

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

11187328 is an equidigital number, since it uses as much as digits as its factorization.

11187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1304 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 11187328 is about 3344.7463281989. The cubic root of 11187328 is about 223.6533754638.

The spelling of 11187328 in words is "eleven million, one hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 1231 2272 2462 4544 4924 9088 9848 19696 39392 78784 87401 157568 174802 349604 699208 1398416 2796832 5593664 11187328