| Base | Representation |
|---|---|
| bin | 100110111001010… |
| … | …0100110010100000 |
| 3 | 10100221210010110102 |
| 4 | 1031302210302200 |
| 5 | 10133101303040 |
| 6 | 333300521532 |
| 7 | 44225124350 |
| oct | 11562446240 |
| 9 | 3327703412 |
| 10 | 1305103520 |
| 11 | 60a773656 |
| 12 | 3050b02a8 |
| 13 | 17a503c06 |
| 14 | c548cb60 |
| 15 | 7989c515 |
| hex | 4dca4ca0 |
1305103520 has 96 divisors (see below), whose sum is σ = 3598898688. Its totient is φ = 437925888.
The previous prime is 1305103507. The next prime is 1305103561. The reversal of 1305103520 is 253015031.
It is a super-3 number, since 3×13051035203 (a number of 28 digits) contains 333 as substring.
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 = 1305103492 and 1305103501.
It is an unprimeable number.
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, 40244 + ... + 65036.
It is an arithmetic number, because the mean of its divisors is an integer number (37488528).
Almost surely, 21305103520 is an apocalyptic number.
1305103520 is a gapful number since it is divisible by the number (10) 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 1305103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799449344).
1305103520 is an abundant number, since it is smaller than the sum of its proper divisors (2293795168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1305103520 is a wasteful number, since it uses less digits than its factorization.
1305103520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24862 (or 24854 counting only the distinct ones).
The product of its (nonzero) digits is 450, while the sum is 20.
The square root of 1305103520 is about 36126.2165193091. The cubic root of 1305103520 is about 1092.8192093329.
Adding to 1305103520 its reverse (253015031), we get a palindrome (1558118551).
The spelling of 1305103520 in words is "one billion, three hundred five million, one hundred three thousand, five hundred twenty".
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