Base | Representation |
---|---|
bin | 1000000111111000… |
… | …0110010101110100 |
3 | 12121222001220020000 |
4 | 2001332012111310 |
5 | 13431204233024 |
6 | 1000212311300 |
7 | 105015165534 |
oct | 20176062564 |
9 | 5558056200 |
10 | 2180539764 |
11 | a19948887 |
12 | 50a312530 |
13 | 2899a9b20 |
14 | 1698534c4 |
15 | cb675cc9 |
hex | 81f86574 |
2180539764 has 120 divisors (see below), whose sum is σ = 6157859400. Its totient is φ = 668860416.
The previous prime is 2180539763. The next prime is 2180539871. The reversal of 2180539764 is 4679350812.
2180539764 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 343731600 + 1836808164 = 18540^2 + 42858^2 .
2180539764 is strictly pandigital in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2180539763) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1890612 + ... + 1891764.
It is an arithmetic number, because the mean of its divisors is an integer number (51315495).
It is a 2-persistent number, because it is pandigital, and so is 2⋅2180539764 = 4361079528, but 3⋅2180539764 = 6541619292 is not.
Almost surely, 22180539764 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 2180539764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078929700).
2180539764 is an abundant number, since it is smaller than the sum of its proper divisors (3977319636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2180539764 is a wasteful number, since it uses less digits than its factorization.
2180539764 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2180539764 is about 46696.2499993308. The cubic root of 2180539764 is about 1296.7452632276.
The spelling of 2180539764 in words is "two billion, one hundred eighty million, five hundred thirty-nine thousand, seven hundred sixty-four".
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