Base | Representation |
---|---|
bin | 1010001111100… |
… | …1000011101100 |
3 | 2222211202101220 |
4 | 2203321003230 |
5 | 41444310210 |
6 | 4132503340 |
7 | 1031116041 |
oct | 243710354 |
9 | 88752356 |
10 | 42963180 |
11 | 22284967 |
12 | 1247ab50 |
13 | 8b93500 |
14 | 59c51c8 |
15 | 3b89c70 |
hex | 28f90ec |
42963180 has 144 divisors (see below), whose sum is σ = 137733120. Its totient is φ = 9974016.
The previous prime is 42963169. The next prime is 42963191. The reversal of 42963180 is 8136924.
42963180 is digitally balanced in base 2, 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 (42963169) and next prime (42963191).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192549 + ... + 192771.
It is an arithmetic number, because the mean of its divisors is an integer number (956480).
Almost surely, 242963180 is an apocalyptic number.
42963180 is the 5352-nd pentagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42963180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68866560).
42963180 is an abundant number, since it is smaller than the sum of its proper divisors (94769940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42963180 is a wasteful number, since it uses less digits than its factorization.
42963180 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 265 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 33.
The square root of 42963180 is about 6554.6304243641. The cubic root of 42963180 is about 350.2397812691.
The spelling of 42963180 in words is "forty-two million, nine hundred sixty-three thousand, one hundred eighty".
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