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2000542340 = 225100027117
BaseRepresentation
bin111011100111101…
…1101101010000100
312011102101002011202
41313033131222010
513044114323330
6530302322032
7100401220646
oct16717355204
95142332152
102000542340
11937288085
12479b89318
1325b607184
1414d99a896
15ba96d445
hex773dda84

2000542340 has 12 divisors (see below), whose sum is σ = 4201138956. Its totient is φ = 800216928.

The previous prime is 2000542321. The next prime is 2000542343. The reversal of 2000542340 is 432450002.

It can be written as a sum of positive squares in 2 ways, for example, as 372258436 + 1628283904 = 19294^2 + 40352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 100027117 = 2000542340 / (2 + 0 + 0 + 0 + 5 + 4 + 2 + 3 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (2000542343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50013539 + ... + 50013578.

It is an arithmetic number, because the mean of its divisors is an integer number (350094913).

Almost surely, 22000542340 is an apocalyptic number.

2000542340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000542340 is an abundant number, since it is smaller than the sum of its proper divisors (2200596616).

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

2000542340 is a wasteful number, since it uses less digits than its factorization.

2000542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100027126 (or 100027124 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2000542340 is about 44727.4226845232. The cubic root of 2000542340 is about 1260.0349238661.

Adding to 2000542340 its reverse (432450002), we get a palindrome (2432992342).

The spelling of 2000542340 in words is "two billion, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 100027117 200054234 400108468 500135585 1000271170 2000542340