| Base | Representation |
|---|---|
| bin | 11110101001101… |
| … | …01011110001000 |
| 3 | 122220211001112000 |
| 4 | 33110311132020 |
| 5 | 1011310321021 |
| 6 | 41302551000 |
| 7 | 6241325250 |
| oct | 1724653610 |
| 9 | 586731460 |
| 10 | 257120136 |
| 11 | 122157189 |
| 12 | 72138460 |
| 13 | 413664c0 |
| 14 | 26210960 |
| 15 | 1788db26 |
| hex | f535788 |
257120136 has 256 divisors, whose sum is σ = 894566400. Its totient is φ = 66624768.
The previous prime is 257120117. The next prime is 257120137. The reversal of 257120136 is 631021752.
It is a happy number.
257120136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2571201362 = 132221528673316992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (257120137) 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, 2024505 + ... + 2024631.
It is an arithmetic number, because the mean of its divisors is an integer number (3494400).
Almost surely, 2257120136 is an apocalyptic number.
257120136 is a gapful number since it is divisible by the number (26) 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 257120136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447283200).
257120136 is an abundant number, since it is smaller than the sum of its proper divisors (637446264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257120136 is a wasteful number, since it uses less digits than its factorization.
257120136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 265 (or 255 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 257120136 is about 16034.9660429949. The cubic root of 257120136 is about 635.8851697278.
Adding to 257120136 its reverse (631021752), we get a palindrome (888141888).
The spelling of 257120136 in words is "two hundred fifty-seven million, one hundred twenty thousand, one hundred thirty-six".
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