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11105328 = 243132372
BaseRepresentation
bin101010010111…
…010000110000
3202220012122110
4222113100300
510320332303
61034005320
7163252023
oct52272060
922805573
1011105328
1162a5663
123876840
1323baa00
1416911ba
15e95703
hexa97430

11105328 has 90 divisors (see below), whose sum is σ = 31927644. Its totient is φ = 3324672.

The previous prime is 11105321. The next prime is 11105351. The reversal of 11105328 is 82350111.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11105321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 300126 + ... + 300162.

Almost surely, 211105328 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 11105328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963822).

11105328 is an abundant number, since it is smaller than the sum of its proper divisors (20822316).

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

11105328 is a wasteful number, since it uses less digits than its factorization.

11105328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11105328 is about 3332.4657537625. The cubic root of 11105328 is about 223.1055959242.

Adding to 11105328 its reverse (82350111), we get a palindrome (93455439).

The spelling of 11105328 in words is "eleven million, one hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 888 962 1014 1352 1369 1443 1776 1924 2028 2704 2738 2886 3848 4056 4107 5476 5772 6253 7696 8112 8214 10952 11544 12506 16428 17797 18759 21904 23088 25012 32856 35594 37518 50024 53391 65712 71188 75036 100048 106782 142376 150072 213564 231361 284752 300144 427128 462722 694083 854256 925444 1388166 1850888 2776332 3701776 5552664 11105328