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11331768 = 2337371823
BaseRepresentation
bin101011001110…
…100010111000
3210022201021010
4223032202320
510400104033
61042513520
7165214140
oct53164270
923281233
1011331768
11643a7a8
1239658a0
132469ab6
14170d920
15edc863
hexace8b8

11331768 has 64 divisors (see below), whose sum is σ = 33269760. Its totient is φ = 3148416.

The previous prime is 11331763. The next prime is 11331769. The reversal of 11331768 is 86713311.

11331768 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

11331768 is strictly pandigital in base 8.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5305 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (519840).

Almost surely, 211331768 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 11331768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634880).

11331768 is an abundant number, since it is smaller than the sum of its proper divisors (21937992).

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

11331768 is a wasteful number, since it uses less digits than its factorization.

11331768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1872 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 11331768 is about 3366.2691514494. The cubic root of 11331768 is about 224.6117947904.

The spelling of 11331768 in words is "eleven million, three hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 1823 2072 3108 3646 5469 6216 7292 10938 12761 14584 21876 25522 38283 43752 51044 67451 76566 102088 134902 153132 202353 269804 306264 404706 472157 539608 809412 944314 1416471 1618824 1888628 2832942 3777256 5665884 11331768