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11189120 = 27517483
BaseRepresentation
bin101010101011…
…101110000000
3210001110120212
4222223232000
510331022440
61035453252
7164051225
oct52535600
923043525
1011189120
116352608
1238b7228
132419ba7
1416b394c
15eb0465
hexaabb80

11189120 has 32 divisors (see below), whose sum is σ = 26750520. Its totient is φ = 4475392.

The previous prime is 11189117. The next prime is 11189131. The reversal of 11189120 is 2198111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8102 + ... + 9381.

Almost surely, 211189120 is an apocalyptic number.

11189120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11189120 is an abundant number, since it is smaller than the sum of its proper divisors (15561400).

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

11189120 is an equidigital number, since it uses as much as digits as its factorization.

11189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502 (or 17490 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 11189120 is about 3345.0142002688. The cubic root of 11189120 is about 223.6653165174.

The spelling of 11189120 in words is "eleven million, one hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 17483 34966 69932 87415 139864 174830 279728 349660 559456 699320 1118912 1398640 2237824 2797280 5594560 11189120