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2104111540 = 2252294331061
BaseRepresentation
bin111110101101010…
…0011000110110100
312102122020221102001
41331122203012310
513302123032130
6544442225044
7103066436656
oct17532430664
95378227361
102104111540
1198a797163
124a87b5184
13276bca41b
1415d63a6d6
15c4aca6ca
hex7d6a31b4

2104111540 has 48 divisors (see below), whose sum is σ = 4452371280. Its totient is φ = 835246080.

The previous prime is 2104111511. The next prime is 2104111549. The reversal of 2104111540 is 451114012.

It can be written as a sum of positive squares in 8 ways, for example, as 4822416 + 2099289124 = 2196^2 + 45818^2 .

It is a super-2 number, since 2×21041115402 = 8854570745522343200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104111549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982610 + ... + 1983670.

It is an arithmetic number, because the mean of its divisors is an integer number (92757735).

Almost surely, 22104111540 is an apocalyptic number.

2104111540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104111540 is an abundant number, since it is smaller than the sum of its proper divisors (2348259740).

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

2104111540 is a wasteful number, since it uses less digits than its factorization.

2104111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2104111540 is about 45870.5955923836. The cubic root of 2104111540 is about 1281.4143586415.

Adding to 2104111540 its reverse (451114012), we get a palindrome (2555225552).

The spelling of 2104111540 in words is "two billion, one hundred four million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 229 433 458 866 916 1061 1145 1732 2122 2165 2290 4244 4330 4580 5305 8660 10610 21220 99157 198314 242969 396628 459413 485938 495785 918826 971876 991570 1214845 1837652 1983140 2297065 2429690 4594130 4859380 9188260 105205577 210411154 420822308 526027885 1052055770 2104111540