Base | Representation |
---|---|
bin | 100000001101100… |
… | …101011101110000 |
3 | 1101122220210122220 |
4 | 200031211131300 |
5 | 2101322312430 |
6 | 125343201040 |
7 | 16251412125 |
oct | 4015453560 |
9 | 1348823586 |
10 | 540432240 |
11 | 258072817 |
12 | 130ba6180 |
13 | 87c705ba |
14 | 51abc74c |
15 | 326a3110 |
hex | 20365770 |
540432240 has 80 divisors (see below), whose sum is σ = 1680109728. Its totient is φ = 143705088.
The previous prime is 540432239. The next prime is 540432241. The reversal of 540432240 is 42234045.
It is an interprime number because it is at equal distance from previous prime (540432239) and next prime (540432241).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 540432240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (540432241) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 86502 + ... + 92538.
Almost surely, 2540432240 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 540432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840054864).
540432240 is an abundant number, since it is smaller than the sum of its proper divisors (1139677488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540432240 is a wasteful number, since it uses less digits than its factorization.
540432240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6426 (or 6420 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 24.
The square root of 540432240 is about 23247.1985408995. The cubic root of 540432240 is about 814.5425010824.
Adding to 540432240 its reverse (42234045), we get a palindrome (582666285).
The spelling of 540432240 in words is "five hundred forty million, four hundred thirty-two thousand, two hundred forty".
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