Base | Representation |
---|---|
bin | 100000001100000… |
… | …100000000111100 |
3 | 1101122011112010100 |
4 | 200030010000330 |
5 | 2101222024314 |
6 | 125330441100 |
7 | 16245130323 |
oct | 4014040074 |
9 | 1348145110 |
10 | 540033084 |
11 | 25791a938 |
12 | 130a33190 |
13 | 87b60a06 |
14 | 51a170ba |
15 | 32624c09 |
hex | 2030403c |
540033084 has 72 divisors (see below), whose sum is σ = 1448607888. Its totient is φ = 169044480.
The previous prime is 540032963. The next prime is 540033089. The reversal of 540033084 is 480330045.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (540033089) 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, 422254 + ... + 423530.
It is an arithmetic number, because the mean of its divisors is an integer number (20119554).
Almost surely, 2540033084 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 540033084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724303944).
540033084 is an abundant number, since it is smaller than the sum of its proper divisors (908574804).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540033084 is a wasteful number, since it uses less digits than its factorization.
540033084 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1995 (or 1990 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 540033084 is about 23238.6119206806. The cubic root of 540033084 is about 814.3419149708.
The spelling of 540033084 in words is "five hundred forty million, thirty-three thousand, eighty-four".
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