| Base | Representation |
|---|---|
| bin | 11111010111000… |
| … | …10100100101000 |
| 3 | 200100000102222220 |
| 4 | 33223202210220 |
| 5 | 1014321301130 |
| 6 | 42034314040 |
| 7 | 6343034610 |
| oct | 1753424450 |
| 9 | 610012886 |
| 10 | 263072040 |
| 11 | 125551a10 |
| 12 | 74128920 |
| 13 | 4266b63a |
| 14 | 26d1da40 |
| 15 | 18167410 |
| hex | fae2928 |
263072040 has 256 divisors, whose sum is σ = 1000304640. Its totient is φ = 53760000.
The previous prime is 263072039. The next prime is 263072041. The reversal of 263072040 is 40270362.
263072040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (263072039) and next prime (263072041).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 263072040.
It is not an unprimeable number, because it can be changed into a prime (263072041) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655840 + ... + 656240.
It is an arithmetic number, because the mean of its divisors is an integer number (3907440).
Almost surely, 2263072040 is an apocalyptic number.
263072040 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 263072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500152320).
263072040 is an abundant number, since it is smaller than the sum of its proper divisors (737232600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263072040 is a wasteful number, since it uses less digits than its factorization.
263072040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 504 (or 500 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 24.
The square root of 263072040 is about 16219.4956764999. The cubic root of 263072040 is about 640.7543514017.
The spelling of 263072040 in words is "two hundred sixty-three million, seventy-two thousand, forty".
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