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11054268 = 22323743193
BaseRepresentation
bin101010001010…
…110010111100
3202210121121100
4222022302330
510312214033
61032533100
7162650121
oct52126274
922717540
1011054268
116270265
123851190
1323a06b4
14167a748
15e85513
hexa8acbc

11054268 has 72 divisors (see below), whose sum is σ = 29517488. Its totient is φ = 3483648.

The previous prime is 11054243. The next prime is 11054273. The reversal of 11054268 is 86245011.

11054268 is a `hidden beast` number, since 110 + 542 + 6 + 8 = 666.

11054268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57180 + ... + 57372.

Almost surely, 211054268 is an apocalyptic number.

11054268 is a gapful number since it is divisible by the number (18) 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 11054268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758744).

11054268 is an abundant number, since it is smaller than the sum of its proper divisors (18463220).

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

11054268 is a wasteful number, since it uses less digits than its factorization.

11054268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11054268 is about 3324.7959335875. The cubic root of 11054268 is about 222.7631394185.

Adding to 11054268 its reverse (86245011), we get a palindrome (97299279).

The spelling of 11054268 in words is "eleven million, fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 193 222 258 333 386 387 444 516 579 666 772 774 1158 1332 1548 1591 1737 2316 3182 3474 4773 6364 6948 7141 8299 9546 14282 14319 16598 19092 21423 24897 28564 28638 33196 42846 49794 57276 64269 74691 85692 99588 128538 149382 257076 298764 307063 614126 921189 1228252 1842378 2763567 3684756 5527134 11054268