Base | Representation |
---|---|
bin | 1011001111000000000 |
3 | 200200222101 |
4 | 1121320000 |
5 | 43240003 |
6 | 11520144 |
7 | 3062155 |
oct | 1317000 |
9 | 620871 |
10 | 368128 |
11 | 231642 |
12 | 159054 |
13 | cb737 |
14 | 9822c |
15 | 7411d |
hex | 59e00 |
368128 has 20 divisors (see below), whose sum is σ = 736560. Its totient is φ = 183808.
The previous prime is 368117. The next prime is 368129. The reversal of 368128 is 821863.
It is a junction number, because it is equal to n+sod(n) for n = 368096 and 368105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (368129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153 + ... + 871.
It is an arithmetic number, because the mean of its divisors is an integer number (36828).
2368128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368280).
368128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
368128 is an frugal number, since it uses more digits than its factorization.
368128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 737 (or 721 counting only the distinct ones).
The product of its digits is 2304, while the sum is 28.
The square root of 368128 is about 606.7355272275. The cubic root of 368128 is about 71.6692649740.
It can be divided in two parts, 368 and 128, that added together give a triangular number (496 = T31).
The spelling of 368128 in words is "three hundred sixty-eight thousand, one hundred twenty-eight".
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