Base | Representation |
---|---|
bin | 111100000000000… |
… | …0000000000000000 |
3 | 12012022022111122110 |
4 | 1320000000000000 |
5 | 13110344002140 |
6 | 531435135320 |
7 | 100614322641 |
oct | 17000000000 |
9 | 5168274573 |
10 | 2013265920 |
11 | 943488536 |
12 | 4822a4540 |
13 | 261140613 |
14 | 15154d6c8 |
15 | bbb33380 |
hex | 78000000 |
2013265920 has 112 divisors (see below), whose sum is σ = 6442450920. Its totient is φ = 536870912.
The previous prime is 2013265907. The next prime is 2013265921. The reversal of 2013265920 is 295623102.
It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)24.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a nialpdrome in base 2.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2013265921) by changing a digit.
In principle, a polygon with 2013265920 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 402653182 + ... + 402653186.
Almost surely, 22013265920 is an apocalyptic number.
2013265920 is a gapful number since it is divisible by the number (20) 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 2013265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221225460).
2013265920 is an abundant number, since it is smaller than the sum of its proper divisors (4429185000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2013265920 is an frugal number, since it uses more digits than its factorization.
2013265920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 30.
The square root of 2013265920 is about 44869.4319108232. The cubic root of 2013265920 is about 1262.7005820572.
Multiplying 2013265920 by its sum of digits (30), we get a square (60397977600 = 2457602).
2013265920 divided by its sum of digits (30) gives a 26-th power (67108864 = 226).
The spelling of 2013265920 in words is "two billion, thirteen million, two hundred sixty-five thousand, nine hundred twenty".
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