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540130000 = 245454013
BaseRepresentation
bin100000001100011…
…011101011010000
31101122100110001211
4200030123223100
52101233130000
6125332505504
716246013014
oct4014335320
91348313054
10540130000
11257986733
12130a7b294
1387b95b67
1451a40544
15326437ba
hex2031bad0

540130000 has 50 divisors (see below), whose sum is σ = 1307732954. Its totient is φ = 216048000.

The previous prime is 540129991. The next prime is 540130007. The reversal of 540130000 is 31045.

It can be written as a sum of positive squares in 5 ways, for example, as 341658256 + 198471744 = 18484^2 + 14088^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540130007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17007 + ... + 37006.

Almost surely, 2540130000 is an apocalyptic number.

540130000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540130000 is an abundant number, since it is smaller than the sum of its proper divisors (767602954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540130000 is an equidigital number, since it uses as much as digits as its factorization.

540130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54041 (or 54020 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 540130000 is about 23240.6970635564. The cubic root of 540130000 is about 814.3906268260.

Adding to 540130000 its reverse (31045), we get a palindrome (540161045).

The spelling of 540130000 in words is "five hundred forty million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 54013 108026 216052 270065 432104 540130 864208 1080260 1350325 2160520 2700650 4321040 5401300 6751625 10802600 13503250 21605200 27006500 33758125 54013000 67516250 108026000 135032500 270065000 540130000