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11327328 = 2532371063
BaseRepresentation
bin101011001101…
…011101100000
3210022111011200
4223031131200
510344433303
61042441200
7165165165
oct53153540
923274150
1011327328
116437431
123963200
132467a7c
14170c06c
15edb3a3
hexacd760

11327328 has 72 divisors (see below), whose sum is σ = 33113808. Its totient is φ = 3670272.

The previous prime is 11327317. The next prime is 11327347. The reversal of 11327328 is 82372311.

11327328 is a `hidden beast` number, since 11 + 327 + 328 = 666.

11327328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10125 + ... + 11187.

It is an arithmetic number, because the mean of its divisors is an integer number (459914).

Almost surely, 211327328 is an apocalyptic number.

11327328 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 11327328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556904).

11327328 is an abundant number, since it is smaller than the sum of its proper divisors (21786480).

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

11327328 is a wasteful number, since it uses less digits than its factorization.

11327328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1105 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11327328 is about 3365.6096030288. The cubic root of 11327328 is about 224.5824552484.

Adding to 11327328 its reverse (82372311), we get a palindrome (93699639).

The spelling of 11327328 in words is "eleven million, three hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1063 1184 1332 1776 2126 2664 3189 3552 4252 5328 6378 8504 9567 10656 12756 17008 19134 25512 34016 38268 39331 51024 76536 78662 102048 117993 153072 157324 235986 306144 314648 353979 471972 629296 707958 943944 1258592 1415916 1887888 2831832 3775776 5663664 11327328