Base | Representation |
---|---|
bin | 1010000011110010… |
… | …0111000010000000 |
3 | 20222011222120010200 |
4 | 2200330213002000 |
5 | 21012230234242 |
6 | 1123535325200 |
7 | 123625454532 |
oct | 24074470200 |
9 | 6864876120 |
10 | 2700243072 |
11 | 116624264a |
12 | 634380800 |
13 | 340570287 |
14 | 1b8897852 |
15 | 10c0d204c |
hex | a0f27080 |
2700243072 has 72 divisors (see below), whose sum is σ = 7775309295. Its totient is φ = 899493120.
The previous prime is 2700243071. The next prime is 2700243097. The reversal of 2700243072 is 2703420072.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 1350121536 + 1350121536 = 36744^2 + 36744^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=36744.
It is not an unprimeable number, because it can be changed into a prime (2700243071) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 1762947 + ... + 1764477.
Almost surely, 22700243072 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 2700243072
2700243072 is an abundant number, since it is smaller than the sum of its proper divisors (5075066223).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2700243072 is an frugal number, since it uses more digits than its factorization.
2700243072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3082 (or 1536 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 27.
The square root of 2700243072 is about 51963.8631358370. The cubic root of 2700243072 is about 1392.5184355070.
The spelling of 2700243072 in words is "two billion, seven hundred million, two hundred forty-three thousand, seventy-two".
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