Base | Representation |
---|---|
bin | 111110101111000… |
… | …1001001110101000 |
3 | 12102201000211101102 |
4 | 1331132021032220 |
5 | 13302343212440 |
6 | 544514340532 |
7 | 103110444011 |
oct | 17536111650 |
9 | 5381024342 |
10 | 2105054120 |
11 | 990280354 |
12 | 4a8b8a748 |
13 | 27716a470 |
14 | 15d804008 |
15 | c4c14b15 |
hex | 7d7893a8 |
2105054120 has 128 divisors (see below), whose sum is σ = 5205060000. Its totient is φ = 761548800.
The previous prime is 2105054113. The next prime is 2105054153. The reversal of 2105054120 is 214505012.
It can be written as a sum of positive squares in 16 ways, for example, as 7963684 + 2097090436 = 2822^2 + 45794^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2105054092 and 2105054101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7825346 + ... + 7825614.
Almost surely, 22105054120 is an apocalyptic number.
2105054120 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 2105054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602530000).
2105054120 is an abundant number, since it is smaller than the sum of its proper divisors (3100005880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2105054120 is a wasteful number, since it uses less digits than its factorization.
2105054120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 543 (or 539 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 20.
The square root of 2105054120 is about 45880.8687799174. The cubic root of 2105054120 is about 1281.6056753739.
Adding to 2105054120 its reverse (214505012), we get a palindrome (2319559132).
The spelling of 2105054120 in words is "two billion, one hundred five million, fifty-four thousand, one hundred twenty".
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