Base | Representation |
---|---|
bin | 100101101001101… |
… | …1100001001010000 |
3 | 10021001021201110010 |
4 | 1023103130021100 |
5 | 10041411342331 |
6 | 325210434520 |
7 | 43210420440 |
oct | 11323341120 |
9 | 3231251403 |
10 | 1263387216 |
11 | 599170573 |
12 | 2b3132a40 |
13 | 171989100 |
14 | bdb10120 |
15 | 75dabe46 |
hex | 4b4dc250 |
1263387216 has 240 divisors, whose sum is σ = 4255203840. Its totient is φ = 315394560.
The previous prime is 1263387211. The next prime is 1263387269. The reversal of 1263387216 is 6127833621.
It is a super-2 number, since 2×12633872162 = 3192294515104461312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1263387211) 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 47 ways as a sum of consecutive naturals, for example, 1078311 + ... + 1079481.
It is an arithmetic number, because the mean of its divisors is an integer number (17730016).
Almost surely, 21263387216 is an apocalyptic number.
1263387216 is a gapful number since it is divisible by the number (16) 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 1263387216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127601920).
1263387216 is an abundant number, since it is smaller than the sum of its proper divisors (2991816624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1263387216 is a wasteful number, since it uses less digits than its factorization.
1263387216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1234 (or 1215 counting only the distinct ones).
The product of its digits is 72576, while the sum is 39.
The square root of 1263387216 is about 35544.1586762157. The cubic root of 1263387216 is about 1081.0492820154.
The spelling of 1263387216 in words is "one billion, two hundred sixty-three million, three hundred eighty-seven thousand, two hundred sixteen".
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