Base | Representation |
---|---|
bin | 1010001010111010… |
… | …1001000000001100 |
3 | 21001021020020221000 |
4 | 2202232221000030 |
5 | 21042403314224 |
6 | 1130524140300 |
7 | 124440524622 |
oct | 24256510014 |
9 | 7037206830 |
10 | 2730135564 |
11 | 11810aa292 |
12 | 642397690 |
13 | 346808340 |
14 | 1bc839512 |
15 | 10ea390c9 |
hex | a2ba900c |
2730135564 has 96 divisors (see below), whose sum is σ = 7736637440. Its totient is φ = 827475264.
The previous prime is 2730135563. The next prime is 2730135599. The reversal of 2730135564 is 4655310372.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2730135563) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79557 + ... + 108579.
Almost surely, 22730135564 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 2730135564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868318720).
2730135564 is an abundant number, since it is smaller than the sum of its proper divisors (5006501876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2730135564 is a wasteful number, since it uses less digits than its factorization.
2730135564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29116 (or 29108 counting only the distinct ones).
The product of its (nonzero) digits is 75600, while the sum is 36.
The square root of 2730135564 is about 52250.6991723556. The cubic root of 2730135564 is about 1397.6381203365.
The spelling of 2730135564 in words is "two billion, seven hundred thirty million, one hundred thirty-five thousand, five hundred sixty-four".
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