Base | Representation |
---|---|
bin | 100000001100001… |
… | …010100101111000 |
3 | 1101122012220002010 |
4 | 200030022211320 |
5 | 2101223410044 |
6 | 125331205520 |
7 | 16245302010 |
oct | 4014124570 |
9 | 1348186063 |
10 | 540060024 |
11 | 2579390a9 |
12 | 130a468a0 |
13 | 87b7005a |
14 | 51a22c40 |
15 | 3262cbb9 |
hex | 2030a978 |
540060024 has 64 divisors (see below), whose sum is σ = 1547769600. Its totient is φ = 153828864.
The previous prime is 540060019. The next prime is 540060041. The reversal of 540060024 is 420060045.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an unprimeable number.
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, 51847 + ... + 61385.
It is an arithmetic number, because the mean of its divisors is an integer number (24183900).
Almost surely, 2540060024 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 540060024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773884800).
540060024 is an abundant number, since it is smaller than the sum of its proper divisors (1007709576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540060024 is a wasteful number, since it uses less digits than its factorization.
540060024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9892 (or 9888 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 540060024 is about 23239.1915522034. The cubic root of 540060024 is about 814.3554561204.
Adding to 540060024 its sum of digits (21), we get a palindrome (540060045).
The spelling of 540060024 in words is "five hundred forty million, sixty thousand, twenty-four".
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