Base | Representation |
---|---|
bin | 1010001100000… |
… | …0010011110100 |
3 | 2222101221120000 |
4 | 2203000103310 |
5 | 41414340430 |
6 | 4123511300 |
7 | 1026130263 |
oct | 243002364 |
9 | 88357500 |
10 | 42730740 |
11 | 22136268 |
12 | 12388530 |
13 | 8b11780 |
14 | 59645da |
15 | 3b40e60 |
hex | 28c04f4 |
42730740 has 120 divisors (see below), whose sum is σ = 144430440. Its totient is φ = 10513152.
The previous prime is 42730739. The next prime is 42730747. The reversal of 42730740 is 4703724.
It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 33802596 = 2988^2 + 5814^2 .
It is a super-2 number, since 2×427307402 = 3651832281895200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42730747) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20046 + ... + 22074.
It is an arithmetic number, because the mean of its divisors is an integer number (1203587).
Almost surely, 242730740 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42730740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72215220).
42730740 is an abundant number, since it is smaller than the sum of its proper divisors (101699700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42730740 is a wasteful number, since it uses less digits than its factorization.
42730740 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2063 (or 2052 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 27.
The square root of 42730740 is about 6536.8754003729. The cubic root of 42730740 is about 349.6070146976.
The spelling of 42730740 in words is "forty-two million, seven hundred thirty thousand, seven hundred forty".
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