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11129304 = 2333783151
BaseRepresentation
bin101010011101…
…000111011000
3202221102112110
4222131013120
510322114204
61034312320
7163411644
oct52350730
922842473
1011129304
11631167a
1238886a0
1323c88b4
141699c24
15e9c889
hexa9d1d8

11129304 has 64 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 3542400.

The previous prime is 11129297. The next prime is 11129323. The reversal of 11129304 is 40392111.

11129304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111293042 = 247722815048832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73629 + ... + 73779.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 211129304 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 11129304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

11129304 is an abundant number, since it is smaller than the sum of its proper divisors (17981736).

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

11129304 is a wasteful number, since it uses less digits than its factorization.

11129304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11129304 is about 3336.0611505187. The cubic root of 11129304 is about 223.2660394763.

The spelling of 11129304 in words is "eleven million, one hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 83 111 148 151 166 222 249 296 302 332 444 453 498 604 664 888 906 996 1208 1812 1992 3071 3624 5587 6142 9213 11174 12284 12533 16761 18426 22348 24568 25066 33522 36852 37599 44696 50132 67044 73704 75198 100264 134088 150396 300792 463721 927442 1391163 1854884 2782326 3709768 5564652 11129304