Search a number
-
+
1105132 = 227291361
BaseRepresentation
bin100001101110011101100
32002010221211
410031303230
5240331012
635404204
712251650
oct4156354
92063854
101105132
11695336
12453664
132c9032
1420aa60
1516c6a7
hex10dcec

1105132 has 24 divisors (see below), whose sum is σ = 2288160. Its totient is φ = 456960.

The previous prime is 1105109. The next prime is 1105141. The reversal of 1105132 is 2315011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132 + ... + 1492.

It is an arithmetic number, because the mean of its divisors is an integer number (95340).

21105132 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 1105132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144080).

1105132 is an abundant number, since it is smaller than the sum of its proper divisors (1183028).

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

1105132 is a wasteful number, since it uses less digits than its factorization.

1105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1105132 is about 1051.2525862037. The cubic root of 1105132 is about 103.3882977327.

The spelling of 1105132 in words is "one million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1361 2722 5444 9527 19054 38108 39469 78938 157876 276283 552566 1105132