Base | Representation |
---|---|
bin | 11110101110110… |
… | …10010001000100 |
3 | 122222002100110011 |
4 | 33113122101010 |
5 | 1011443421030 |
6 | 41325240004 |
7 | 6250136221 |
oct | 1727322104 |
9 | 588070404 |
10 | 257795140 |
11 | 122578339 |
12 | 72403004 |
13 | 41541805 |
14 | 26348948 |
15 | 17973b2a |
hex | f5da444 |
257795140 has 48 divisors (see below), whose sum is σ = 574895664. Its totient is φ = 96768000.
The previous prime is 257795119. The next prime is 257795143. The reversal of 257795140 is 41597752.
257795140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 57062916 + 200732224 = 7554^2 + 14168^2 .
It is a junction number, because it is equal to n+sod(n) for n = 257795093 and 257795102.
It is not an unprimeable number, because it can be changed into a prime (257795143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142240 + ... + 144040.
It is an arithmetic number, because the mean of its divisors is an integer number (11976993).
Almost surely, 2257795140 is an apocalyptic number.
257795140 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 257795140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287447832).
257795140 is an abundant number, since it is smaller than the sum of its proper divisors (317100524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257795140 is a wasteful number, since it uses less digits than its factorization.
257795140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2248 (or 2246 counting only the distinct ones).
The product of its (nonzero) digits is 88200, while the sum is 40.
The square root of 257795140 is about 16056.0001245640. Note that the first 3 decimals coincide. The cubic root of 257795140 is about 636.4411354841.
The spelling of 257795140 in words is "two hundred fifty-seven million, seven hundred ninety-five thousand, one hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •