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2005030140 = 2235191174959
BaseRepresentation
bin111011110000010…
…0101010011111100
312011201211002021120
41313200211103330
513101241431030
6530542430540
7100454321631
oct16740452374
95151732246
102005030140
11939872903
1247b592450
1325c518a89
14150408188
15bb058010
hex778254fc

2005030140 has 48 divisors (see below), whose sum is σ = 5643509760. Its totient is φ = 531872320.

The previous prime is 2005030123. The next prime is 2005030147. The reversal of 2005030140 is 410305002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005030147) 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, 76020 + ... + 98939.

It is an arithmetic number, because the mean of its divisors is an integer number (117573120).

Almost surely, 22005030140 is an apocalyptic number.

2005030140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005030140 is an abundant number, since it is smaller than the sum of its proper divisors (3638479620).

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

2005030140 is a wasteful number, since it uses less digits than its factorization.

2005030140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175162 (or 175160 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2005030140 is about 44777.5629082245. The cubic root of 2005030140 is about 1260.9764288165.

Adding to 2005030140 its reverse (410305002), we get a palindrome (2415335142).

The spelling of 2005030140 in words is "two billion, five million, thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 174959 349918 524877 699836 874795 1049754 1749590 2099508 2624385 3499180 5248770 10497540 33417169 66834338 100251507 133668676 167085845 200503014 334171690 401006028 501257535 668343380 1002515070 2005030140