Base | Representation |
---|---|
bin | 111101100000110… |
… | …1010111001100000 |
3 | 12022211211212022110 |
4 | 1323001222321200 |
5 | 13211343113144 |
6 | 540451235320 |
7 | 102102003663 |
oct | 17301527140 |
9 | 5284755273 |
10 | 2064035424 |
11 | 96a104400 |
12 | 4972a8b40 |
13 | 26b808049 |
14 | 1581a76da |
15 | c13110b9 |
hex | 7b06ae60 |
2064035424 has 144 divisors (see below), whose sum is σ = 6003519984. Its totient is φ = 620421120.
The previous prime is 2064035423. The next prime is 2064035431. The reversal of 2064035424 is 4245304602.
2064035424 is a modest number, since divided by 35424 gives 20640 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 2064035391 and 2064035400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2064035423) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1590744 + ... + 1592040.
It is an arithmetic number, because the mean of its divisors is an integer number (41691111).
Almost surely, 22064035424 is an apocalyptic number.
2064035424 is a gapful number since it is divisible by the number (24) 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 2064035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001759992).
2064035424 is an abundant number, since it is smaller than the sum of its proper divisors (3939484560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2064035424 is a wasteful number, since it uses less digits than its factorization.
2064035424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1469 (or 1450 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 30.
The square root of 2064035424 is about 45431.6566283907. The cubic root of 2064035424 is about 1273.2266360408.
The spelling of 2064035424 in words is "two billion, sixty-four million, thirty-five thousand, four hundred twenty-four".
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