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11771264 = 27412243
BaseRepresentation
bin101100111001…
…110110000000
3211011001010202
4230321312000
511003140024
61100144332
7202024361
oct54716600
924131122
1011771264
11670aa1a
123b380a8
132591b5b
1417c5b68
151077bae
hexb39d80

11771264 has 32 divisors (see below), whose sum is σ = 24033240. Its totient is φ = 5739520.

The previous prime is 11771261. The next prime is 11771269. The reversal of 11771264 is 46217711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11771261) 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 3 ways as a sum of consecutive naturals, for example, 4127 + ... + 6369.

Almost surely, 211771264 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 11771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016620).

11771264 is an abundant number, since it is smaller than the sum of its proper divisors (12261976).

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

11771264 is an equidigital number, since it uses as much as digits as its factorization.

11771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2286 counting only the distinct ones).

The product of its digits is 2352, while the sum is 29.

The square root of 11771264 is about 3430.9275713719. The cubic root of 11771264 is about 227.4788548555.

Adding to 11771264 its reverse (46217711), we get a palindrome (57988975).

The spelling of 11771264 in words is "eleven million, seven hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2243 2624 4486 5248 8972 17944 35888 71776 91963 143552 183926 287104 367852 735704 1471408 2942816 5885632 11771264