| Base | Representation |
|---|---|
| bin | 100110110100111… |
| … | …0010011010101000 |
| 3 | 10100210110002200100 |
| 4 | 1031221302122220 |
| 5 | 10132004100130 |
| 6 | 333135305400 |
| 7 | 44166421563 |
| oct | 11551623250 |
| 9 | 3323402610 |
| 10 | 1302800040 |
| 11 | 60943aa53 |
| 12 | 30437b260 |
| 13 | 179ba85c9 |
| 14 | c504d4da |
| 15 | 79594c60 |
| hex | 4da726a8 |
1302800040 has 144 divisors (see below), whose sum is σ = 4426842420. Its totient is φ = 332259840.
The previous prime is 1302800033. The next prime is 1302800047. The reversal of 1302800040 is 400082031.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1302800033) and next prime (1302800047).
It can be written as a sum of positive squares in 2 ways, for example, as 1297296324 + 5503716 = 36018^2 + 2346^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1302799986 and 1302800022.
It is not an unprimeable number, because it can be changed into a prime (1302800047) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187020 + ... + 193860.
Almost surely, 21302800040 is an apocalyptic number.
1302800040 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 1302800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213421210).
1302800040 is an abundant number, since it is smaller than the sum of its proper divisors (3124042380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1302800040 is a wasteful number, since it uses less digits than its factorization.
1302800040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6904 (or 6874 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1302800040 is about 36094.3214370349. The cubic root of 1302800040 is about 1092.1758964733.
Adding to 1302800040 its reverse (400082031), we get a palindrome (1702882071).
The spelling of 1302800040 in words is "one billion, three hundred two million, eight hundred thousand, forty".
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