| Base | Representation |
|---|---|
| bin | 11110101001110… |
| … | …11001110000000 |
| 3 | 122220212020211000 |
| 4 | 33110323032000 |
| 5 | 1011312044210 |
| 6 | 41303252000 |
| 7 | 6241454013 |
| oct | 1724731600 |
| 9 | 586766730 |
| 10 | 257143680 |
| 11 | 122172942 |
| 12 | 7214a000 |
| 13 | 41374131 |
| 14 | 2621937a |
| 15 | 17895ac0 |
| hex | f53b380 |
257143680 has 256 divisors, whose sum is σ = 951782400. Its totient is φ = 65488896.
The previous prime is 257143669. The next prime is 257143681. The reversal of 257143680 is 86341752.
257143680 is a `hidden beast` number, since 2 + 571 + 4 + 3 + 6 + 80 = 666.
257143680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2571436802 = 132245744327884800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (257143681) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397117 + ... + 397763.
It is an arithmetic number, because the mean of its divisors is an integer number (3717900).
Almost surely, 2257143680 is an apocalyptic number.
257143680 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 257143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475891200).
257143680 is an abundant number, since it is smaller than the sum of its proper divisors (694638720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257143680 is a wasteful number, since it uses less digits than its factorization.
257143680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 698 (or 680 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 257143680 is about 16035.7001718042. The cubic root of 257143680 is about 635.9045780658.
The spelling of 257143680 in words is "two hundred fifty-seven million, one hundred forty-three thousand, six hundred eighty".
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