| Base | Representation |
|---|---|
| bin | 10000000001010… |
| … | …001001001100000 |
| 3 | 200201201211011110 |
| 4 | 100001101021200 |
| 5 | 1022301032330 |
| 6 | 42400343320 |
| 7 | 6442326465 |
| oct | 2001211140 |
| 9 | 621654143 |
| 10 | 268767840 |
| 11 | 128792290 |
| 12 | 76014b40 |
| 13 | 438b4033 |
| 14 | 279a366c |
| 15 | 188dedb0 |
| hex | 10051260 |
268767840 has 192 divisors, whose sum is σ = 934053120. Its totient is φ = 64419840.
The previous prime is 268767827. The next prime is 268767847. The reversal of 268767840 is 48767862.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 268767840.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (268767847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575287 + ... + 575753.
It is an arithmetic number, because the mean of its divisors is an integer number (4864860).
Almost surely, 2268767840 is an apocalyptic number.
268767840 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 268767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560).
268767840 is an abundant number, since it is smaller than the sum of its proper divisors (665285280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268767840 is a wasteful number, since it uses less digits than its factorization.
268767840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 605 (or 597 counting only the distinct ones).
The product of its (nonzero) digits is 903168, while the sum is 48.
The square root of 268767840 is about 16394.1404166245. The cubic root of 268767840 is about 645.3457193549.
It can be divided in two parts, 26876 and 7840, that added together give a triangular number (34716 = T263).
The spelling of 268767840 in words is "two hundred sixty-eight million, seven hundred sixty-seven thousand, eight hundred forty".
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