Base | Representation |
---|---|
bin | 100000001101111… |
… | …001011101011100 |
3 | 1101200001222000020 |
4 | 200031321131130 |
5 | 2101332423030 |
6 | 125345032140 |
7 | 16252202655 |
oct | 4015713534 |
9 | 1350058006 |
10 | 540514140 |
11 | 258119301 |
12 | 131025650 |
13 | 87c9b96a |
14 | 51b0052c |
15 | 326bc510 |
hex | 2037975c |
540514140 has 96 divisors (see below), whose sum is σ = 1592027136. Its totient is φ = 136830720.
The previous prime is 540514123. The next prime is 540514141. The reversal of 540514140 is 41415045.
It is a happy number.
540514140 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 540514140.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (540514141) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95839 + ... + 101321.
It is an arithmetic number, because the mean of its divisors is an integer number (16583616).
Almost surely, 2540514140 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 540514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796013568).
540514140 is an abundant number, since it is smaller than the sum of its proper divisors (1051512996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540514140 is a wasteful number, since it uses less digits than its factorization.
540514140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5579 (or 5577 counting only the distinct ones).
The product of its (nonzero) digits is 1600, while the sum is 24.
The square root of 540514140 is about 23248.9599767387. The cubic root of 540514140 is about 814.5836457171.
Adding to 540514140 its reverse (41415045), we get a palindrome (581929185).
The spelling of 540514140 in words is "five hundred forty million, five hundred fourteen thousand, one hundred forty".
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