Base | Representation |
---|---|
bin | 1010000010111… |
… | …0101000000110 |
3 | 2221021122000100 |
4 | 2200232220012 |
5 | 41241242042 |
6 | 4103024530 |
7 | 1021063500 |
oct | 240565006 |
9 | 87248010 |
10 | 42134022 |
11 | 21868a07 |
12 | 1213b146 |
13 | 8962c98 |
14 | 584ad70 |
15 | 3a7424c |
hex | 282ea06 |
42134022 has 144 divisors (see below), whose sum is σ = 116093952. Its totient is φ = 10977120.
The previous prime is 42134021. The next prime is 42134047. The reversal of 42134022 is 22043124.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 42133986 and 42134004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42134021) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628833 + ... + 628899.
It is an arithmetic number, because the mean of its divisors is an integer number (806208).
Almost surely, 242134022 is an apocalyptic number.
42134022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 42134022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58046976).
42134022 is an abundant number, since it is smaller than the sum of its proper divisors (73959930).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42134022 is a wasteful number, since it uses less digits than its factorization.
42134022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 133 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 42134022 is about 6491.0724845745. The cubic root of 42134022 is about 347.9720052788.
Adding to 42134022 its reverse (22043124), we get a palindrome (64177146).
It can be divided in two parts, 421 and 34022, that added together give a palindrome (34443).
The spelling of 42134022 in words is "forty-two million, one hundred thirty-four thousand, twenty-two".
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