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11131232 = 257231229
BaseRepresentation
bin101010011101…
…100101100000
3202221112011212
4222131211200
510322144412
61034325252
7163420400
oct52354540
922845155
1011131232
116313072
123889828
1323c9738
14169a800
15e9d222
hexa9d960

11131232 has 72 divisors (see below), whose sum is σ = 26429760. Its totient is φ = 4596480.

The previous prime is 11131231. The next prime is 11131247. The reversal of 11131232 is 23213111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131231) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48494 + ... + 48722.

It is an arithmetic number, because the mean of its divisors is an integer number (367080).

Almost surely, 211131232 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 11131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214880).

11131232 is an abundant number, since it is smaller than the sum of its proper divisors (15298528).

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

11131232 is a wasteful number, since it uses less digits than its factorization.

11131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 11131232 is about 3336.3501015331. The cubic root of 11131232 is about 223.2789313298.

Adding to 11131232 its reverse (23213111), we get a palindrome (34344343).

The spelling of 11131232 in words is "eleven million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 229 248 392 434 458 496 784 868 916 992 1519 1568 1603 1736 1832 3038 3206 3472 3664 6076 6412 6944 7099 7328 11221 12152 12824 14198 22442 24304 25648 28396 44884 48608 49693 51296 56792 89768 99386 113584 179536 198772 227168 347851 359072 397544 695702 795088 1391404 1590176 2782808 5565616 11131232