Base | Representation |
---|---|
bin | 11011100000110… |
… | …00101010110000 |
3 | 121002021020021211 |
4 | 31300120222300 |
5 | 433040202020 |
6 | 34522325504 |
7 | 5501443420 |
oct | 1560305260 |
9 | 532236254 |
10 | 230787760 |
11 | 109301295 |
12 | 65359894 |
13 | 38a76a08 |
14 | 22918480 |
15 | 153db85a |
hex | dc18ab0 |
230787760 has 80 divisors (see below), whose sum is σ = 615960576. Its totient is φ = 78776064.
The previous prime is 230787707. The next prime is 230787793. The reversal of 230787760 is 67787032.
230787760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146497 + ... + 148063.
Almost surely, 2230787760 is an apocalyptic number.
230787760 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 230787760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307980288).
230787760 is an abundant number, since it is smaller than the sum of its proper divisors (385172816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230787760 is a wasteful number, since it uses less digits than its factorization.
230787760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).
The product of its (nonzero) digits is 98784, while the sum is 40.
The square root of 230787760 is about 15191.7003656602. The cubic root of 230787760 is about 613.3912699944.
The spelling of 230787760 in words is "two hundred thirty million, seven hundred eighty-seven thousand, seven hundred sixty".
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