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11331968 = 27223397
BaseRepresentation
bin101011001110…
…100110000000
3210022201112112
4223032212000
510400110333
61042514452
7165214544
oct53164600
923281475
1011331968
11643a96a
123965a28
132469c0b
14170da24
15edc948
hexace980

11331968 has 32 divisors (see below), whose sum is σ = 22733760. Its totient is φ = 5626368.

The previous prime is 11331941. The next prime is 11331973. The reversal of 11331968 is 86913311.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28346 + ... + 28742.

It is an arithmetic number, because the mean of its divisors is an integer number (710430).

Almost surely, 211331968 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 11331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366880).

11331968 is an abundant number, since it is smaller than the sum of its proper divisors (11401792).

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

11331968 is an equidigital number, since it uses as much as digits as its factorization.

11331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 11331968 is about 3366.2988577962. The cubic root of 11331968 is about 224.6131162110.

The spelling of 11331968 in words is "eleven million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 223 397 446 794 892 1588 1784 3176 3568 6352 7136 12704 14272 25408 28544 50816 88531 177062 354124 708248 1416496 2832992 5665984 11331968