Base | Representation |
---|---|
bin | 100000111101100… |
… | …0000111000000000 |
3 | 2212002010001212000 |
4 | 1001323000320000 |
5 | 4231113122440 |
6 | 301425104000 |
7 | 36256516035 |
oct | 10173007000 |
9 | 2762101760 |
10 | 1105989120 |
11 | 518335aa5 |
12 | 26a488000 |
13 | 148199a42 |
14 | a6c5b38c |
15 | 6716a730 |
hex | 41ec0e00 |
1105989120 has 160 divisors (see below), whose sum is σ = 3928811040. Its totient is φ = 294912000.
The previous prime is 1105989119. The next prime is 1105989127. The reversal of 1105989120 is 219895011.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1105989127) 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, 61120 + ... + 77120.
It is an arithmetic number, because the mean of its divisors is an integer number (24555069).
Almost surely, 21105989120 is an apocalyptic number.
1105989120 is a gapful number since it is divisible by the number (10) 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 1105989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964405520).
1105989120 is an abundant number, since it is smaller than the sum of its proper divisors (2822821920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1105989120 is an equidigital number, since it uses as much as digits as its factorization.
1105989120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16033 (or 16011 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 36.
The square root of 1105989120 is about 33256.4147195695. The cubic root of 1105989120 is about 1034.1501951134.
The spelling of 1105989120 in words is "one billion, one hundred five million, nine hundred eighty-nine thousand, one hundred twenty".
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