Base | Representation |
---|---|
bin | 111110101011100… |
… | …0011000010000000 |
3 | 12102120112022102000 |
4 | 1331113003002000 |
5 | 13301404144403 |
6 | 544410424000 |
7 | 103055565066 |
oct | 17527030200 |
9 | 5376468360 |
10 | 2103193728 |
11 | 98a21a639 |
12 | 4a8432000 |
13 | 27696873c |
14 | 15d47c036 |
15 | c49987a3 |
hex | 7d5c3080 |
2103193728 has 128 divisors (see below), whose sum is σ = 6359169600. Its totient is φ = 683919360.
The previous prime is 2103193721. The next prime is 2103193789. The reversal of 2103193728 is 8273913012.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2103193692 and 2103193701.
It is not an unprimeable number, because it can be changed into a prime (2103193721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134275 + ... + 149117.
Almost surely, 22103193728 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 2103193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179584800).
2103193728 is an abundant number, since it is smaller than the sum of its proper divisors (4255975872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2103193728 is a wasteful number, since it uses less digits than its factorization.
2103193728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14907 (or 14889 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 2103193728 is about 45860.5901401192. The cubic root of 2103193728 is about 1281.2280141918.
The spelling of 2103193728 in words is "two billion, one hundred three million, one hundred ninety-three thousand, seven hundred twenty-eight".
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