| Base | Representation |
|---|---|
| bin | 11111111101011… |
| … | …00100000000000 |
| 3 | 200200110120001200 |
| 4 | 33332230200000 |
| 5 | 1022112442230 |
| 6 | 42334101200 |
| 7 | 6433520346 |
| oct | 1776544000 |
| 9 | 620416050 |
| 10 | 268093440 |
| 11 | 12837162a |
| 12 | 7594a800 |
| 13 | 43709094 |
| 14 | 27869996 |
| 15 | 1880a160 |
| hex | ffac800 |
268093440 has 144 divisors (see below), whose sum is σ = 929483100. Its totient is φ = 71467008.
The previous prime is 268093421. The next prime is 268093459. The reversal of 268093440 is 44390862.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (268093421) and next prime (268093459).
It can be written as a sum of positive squares in 2 ways, for example, as 263218176 + 4875264 = 16224^2 + 2208^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 268093395 and 268093404.
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 11 ways as a sum of consecutive naturals, for example, 90706 + ... + 93614.
Almost surely, 2268093440 is an apocalyptic number.
268093440 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 268093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464741550).
268093440 is an abundant number, since it is smaller than the sum of its proper divisors (661389660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268093440 is a wasteful number, since it uses less digits than its factorization.
268093440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2942 (or 2919 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 268093440 is about 16373.5591732525. The cubic root of 268093440 is about 644.8054939016.
The spelling of 268093440 in words is "two hundred sixty-eight million, ninety-three thousand, four hundred forty".
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