Base | Representation |
---|---|
bin | 100000001111010… |
… | …001011101011000 |
3 | 1101200202021110000 |
4 | 200033101131120 |
5 | 2101430441314 |
6 | 125400453000 |
7 | 16255233555 |
oct | 4017213530 |
9 | 1350667400 |
10 | 540874584 |
11 | 258345098 |
12 | 13117a160 |
13 | 88096a43 |
14 | 51b95a2c |
15 | 3273e209 |
hex | 203d1758 |
540874584 has 160 divisors (see below), whose sum is σ = 1648658880. Its totient is φ = 164975616.
The previous prime is 540874573. The next prime is 540874603. The reversal of 540874584 is 485478045.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406929 + ... + 408255.
It is an arithmetic number, because the mean of its divisors is an integer number (10304118).
Almost surely, 2540874584 is an apocalyptic number.
540874584 is a gapful number since it is divisible by the number (54) 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 540874584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824329440).
540874584 is an abundant number, since it is smaller than the sum of its proper divisors (1107784296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540874584 is a wasteful number, since it uses less digits than its factorization.
540874584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1399 (or 1386 counting only the distinct ones).
The product of its (nonzero) digits is 716800, while the sum is 45.
The square root of 540874584 is about 23256.7105154620. The cubic root of 540874584 is about 814.7646749290.
The spelling of 540874584 in words is "five hundred forty million, eight hundred seventy-four thousand, five hundred eighty-four".
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