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11206048 = 257192633
BaseRepresentation
bin101010101111…
…110110100000
3210002022210211
4222233312200
510332043143
61040103504
7164151460
oct52576640
923068724
1011206048
1163642a7
123904b94
1324247c9
1416b9ba0
15eb549d
hexaafda0

11206048 has 48 divisors (see below), whose sum is σ = 26550720. Its totient is φ = 4548096.

The previous prime is 11206033. The next prime is 11206049. The reversal of 11206048 is 84060211.

It is not an unprimeable number, because it can be changed into a prime (11206049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940 + ... + 5572.

It is an arithmetic number, because the mean of its divisors is an integer number (553140).

Almost surely, 211206048 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 11206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275360).

11206048 is an abundant number, since it is smaller than the sum of its proper divisors (15344672).

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

11206048 is a wasteful number, since it uses less digits than its factorization.

11206048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11206048 is about 3347.5435770129. The cubic root of 11206048 is about 223.7780539713.

Adding to 11206048 its reverse (84060211), we get a palindrome (95266259).

The spelling of 11206048 in words is "eleven million, two hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2633 4256 5266 10532 18431 21064 36862 42128 50027 73724 84256 100054 147448 200108 294896 350189 400216 589792 700378 800432 1400756 1600864 2801512 5603024 11206048