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11083212 = 22327261103
BaseRepresentation
bin101010010001…
…110111001100
3202212002022100
4222101313030
510314130322
61033315100
7163130400
oct52216714
922762270
1011083212
11628aa88
123865a90
1323b091a
141687100
15e8ddac
hexa91dcc

11083212 has 108 divisors (see below), whose sum is σ = 33445776. Its totient is φ = 3084480.

The previous prime is 11083199. The next prime is 11083223. The reversal of 11083212 is 21238011.

11083212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107553 + ... + 107655.

Almost surely, 211083212 is an apocalyptic number.

11083212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11083212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722888).

11083212 is an abundant number, since it is smaller than the sum of its proper divisors (22362564).

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

11083212 is a wasteful number, since it uses less digits than its factorization.

11083212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11083212 is about 3329.1458363971. The cubic root of 11083212 is about 222.9573943150.

The spelling of 11083212 in words is "eleven million, eighty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 103 122 126 147 183 196 206 244 252 294 309 366 412 427 441 549 588 618 721 732 854 882 927 1098 1236 1281 1442 1708 1764 1854 2163 2196 2562 2884 2989 3708 3843 4326 5047 5124 5978 6283 6489 7686 8652 8967 10094 11956 12566 12978 15141 15372 17934 18849 20188 25132 25956 26901 30282 35868 37698 43981 45423 53802 56547 60564 75396 87962 90846 107604 113094 131943 175924 181692 226188 263886 307867 395829 527772 615734 791658 923601 1231468 1583316 1847202 2770803 3694404 5541606 11083212