Base | Representation |
---|---|
bin | 11110101011010001000100 |
3 | 120010112220211 |
4 | 132223101010 |
5 | 4024312130 |
6 | 444205204 |
7 | 125231503 |
oct | 36532104 |
9 | 16115824 |
10 | 8041540 |
11 | 45a2801 |
12 | 2839804 |
13 | 1887310 |
14 | 10d483a |
15 | a8ca2a |
hex | 7ab444 |
8041540 has 48 divisors (see below), whose sum is σ = 18394992. Its totient is φ = 2935296.
The previous prime is 8041511. The next prime is 8041547. The reversal of 8041540 is 451408.
8041540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 21316 + 8020224 = 146^2 + 2832^2 .
It is not an unprimeable number, because it can be changed into a prime (8041547) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 40722 + ... + 40918.
It is an arithmetic number, because the mean of its divisors is an integer number (383229).
Almost surely, 28041540 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 8041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9197496).
8041540 is an abundant number, since it is smaller than the sum of its proper divisors (10353452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8041540 is a wasteful number, since it uses less digits than its factorization.
8041540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 376 (or 374 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 22.
The square root of 8041540 is about 2835.7609208112. The cubic root of 8041540 is about 200.3455692323.
Adding to 8041540 its reverse (451408), we get a palindrome (8492948).
The spelling of 8041540 in words is "eight million, forty-one thousand, five hundred forty".
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