Base | Representation |
---|---|
bin | 1010000010111… |
… | …0010000111100 |
3 | 2221021112222110 |
4 | 2200232100330 |
5 | 41241220130 |
6 | 4103014020 |
7 | 1021056252 |
oct | 240562074 |
9 | 87245873 |
10 | 42132540 |
11 | 2186788a |
12 | 1213a310 |
13 | 89623c8 |
14 | 584a5d2 |
15 | 3a73ab0 |
hex | 282e43c |
42132540 has 48 divisors (see below), whose sum is σ = 118272672. Its totient is φ = 11206656.
The previous prime is 42132491. The next prime is 42132547. The reversal of 42132540 is 4523124.
It is a super-3 number, since 3×421325403 (a number of 24 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42132547) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34012 + ... + 35228.
It is an arithmetic number, because the mean of its divisors is an integer number (2464014).
Almost surely, 242132540 is an apocalyptic number.
It is an amenable number.
42132540 is an abundant number, since it is smaller than the sum of its proper divisors (76140132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42132540 is a wasteful number, since it uses less digits than its factorization.
42132540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1806 (or 1804 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 42132540 is about 6490.9583267804. The cubic root of 42132540 is about 347.9679254360.
Adding to 42132540 its reverse (4523124), we get a palindrome (46655664).
The spelling of 42132540 in words is "forty-two million, one hundred thirty-two thousand, five hundred forty".
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