Base | Representation |
---|---|
bin | 1111111100010… |
… | …01111010011010 |
3 | 100022122101121200 |
4 | 13332021322122 |
5 | 233213442132 |
6 | 21134215030 |
7 | 3212502111 |
oct | 776117232 |
9 | 308571550 |
10 | 133734042 |
11 | 69542402 |
12 | 38954476 |
13 | 21925290 |
14 | 13a92c78 |
15 | bb19d7c |
hex | 7f89e9a |
133734042 has 48 divisors (see below), whose sum is σ = 319327008. Its totient is φ = 40188960.
The previous prime is 133734037. The next prime is 133734047. The reversal of 133734042 is 240437331.
133734042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (133734037) and next prime (133734047).
It is a junction number, because it is equal to n+sod(n) for n = 133733997 and 133734015.
It is not an unprimeable number, because it can be changed into a prime (133734047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3417 + ... + 16707.
It is an arithmetic number, because the mean of its divisors is an integer number (6652646).
Almost surely, 2133734042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133734042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159663504).
133734042 is an abundant number, since it is smaller than the sum of its proper divisors (185592966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133734042 is a wasteful number, since it uses less digits than its factorization.
133734042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13355 (or 13352 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 133734042 is about 11564.3435611365. The cubic root of 133734042 is about 511.3842211501.
The spelling of 133734042 in words is "one hundred thirty-three million, seven hundred thirty-four thousand, forty-two".
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