Base | Representation |
---|---|
bin | 10101100111011… |
… | …11101110001000 |
3 | 110122012212120000 |
4 | 22303233232020 |
5 | 332410240333 |
6 | 25554403000 |
7 | 4331224131 |
oct | 1263575610 |
9 | 418185500 |
10 | 181336968 |
11 | 933a616a |
12 | 50890460 |
13 | 2b7515a7 |
14 | 1a124c88 |
15 | 10dbe713 |
hex | acefb88 |
181336968 has 100 divisors (see below), whose sum is σ = 530998215. Its totient is φ = 57817584.
The previous prime is 181336937. The next prime is 181336979. The reversal of 181336968 is 869633181.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
181336968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 90668484 + 90668484 = 9522^2 + 9522^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=9522.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 7884205 + ... + 7884227.
Almost surely, 2181336968 is an apocalyptic number.
181336968 is a gapful number since it is divisible by the number (18) 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 181336968
181336968 is an abundant number, since it is smaller than the sum of its proper divisors (349661247).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
181336968 is an frugal number, since it uses more digits than its factorization.
181336968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 28 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 181336968 is about 13466.1415409166. The cubic root of 181336968 is about 566.0160982989.
It can be divided in two parts, 1813 and 36968, that added together give a triangular number (38781 = T278).
The spelling of 181336968 in words is "one hundred eighty-one million, three hundred thirty-six thousand, nine hundred sixty-eight".
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