Base | Representation |
---|---|
bin | 1010000101011… |
… | …1011011000000 |
3 | 2221121010020011 |
4 | 2201113123000 |
5 | 41312113440 |
6 | 4110354304 |
7 | 1022360611 |
oct | 241273300 |
9 | 87533204 |
10 | 42301120 |
11 | 21972504 |
12 | 121bb994 |
13 | 89c1064 |
14 | 5891c08 |
15 | 3aa89ea |
hex | 28576c0 |
42301120 has 56 divisors (see below), whose sum is σ = 102284784. Its totient is φ = 16659456.
The previous prime is 42301073. The next prime is 42301157. The reversal of 42301120 is 2110324.
It is a self number, because there is not a number n which added to its sum of digits gives 42301120.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 20454 + ... + 22426.
It is an arithmetic number, because the mean of its divisors is an integer number (1826514).
Almost surely, 242301120 is an apocalyptic number.
42301120 is a gapful number since it is divisible by the number (40) 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 42301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51142392).
42301120 is an abundant number, since it is smaller than the sum of its proper divisors (59983664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42301120 is a wasteful number, since it uses less digits than its factorization.
42301120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 42301120 is about 6503.9311189464. The cubic root of 42301120 is about 348.4314022742.
Adding to 42301120 its reverse (2110324), we get a palindrome (44411444).
The spelling of 42301120 in words is "forty-two million, three hundred one thousand, one hundred twenty".
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