Base | Representation |
---|---|
bin | 10000001001111100100000 |
3 | 21222011101100 |
4 | 100021330200 |
5 | 2041010130 |
6 | 230434400 |
7 | 50666025 |
oct | 20117440 |
9 | 7864340 |
10 | 4235040 |
11 | 2432937 |
12 | 1502a00 |
13 | b53854 |
14 | 7c354c |
15 | 589c60 |
hex | 409f20 |
4235040 has 144 divisors (see below), whose sum is σ = 15390648. Its totient is φ = 1056768.
The previous prime is 4235017. The next prime is 4235041. The reversal of 4235040 is 405324.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 24336 = 2052^2 + 156^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (4235041) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24394 + ... + 24566.
Almost surely, 24235040 is an apocalyptic number.
4235040 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 4235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695324).
4235040 is an abundant number, since it is smaller than the sum of its proper divisors (11155608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4235040 is a wasteful number, since it uses less digits than its factorization.
4235040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 211 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 4235040 is about 2057.9212812933. The cubic root of 4235040 is about 161.7903094006.
The spelling of 4235040 in words is "four million, two hundred thirty-five thousand, forty".
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