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2005420130 = 25717299131
BaseRepresentation
bin111011110001000…
…0100100001100010
312011202112220020122
41313202010201202
513101341421010
6530555040242
7100460534630
oct16742044142
95152486218
102005420130
1193a00990a
1247b740082
1325c62443c
141504aa350
15bb0d3855
hex77884862

2005420130 has 48 divisors (see below), whose sum is σ = 4382427456. Its totient is φ = 647120640.

The previous prime is 2005420129. The next prime is 2005420139. The reversal of 2005420130 is 310245002.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2005420099 and 2005420108.

It is not an unprimeable number, because it can be changed into a prime (2005420139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29336 + ... + 69795.

It is an arithmetic number, because the mean of its divisors is an integer number (91300572).

Almost surely, 22005420130 is an apocalyptic number.

2005420130 is an abundant number, since it is smaller than the sum of its proper divisors (2377007326).

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

2005420130 is a wasteful number, since it uses less digits than its factorization.

2005420130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99179 (or 99162 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2005420130 is about 44781.9174444329. The cubic root of 2005420130 is about 1261.0581792612.

Adding to 2005420130 its reverse (310245002), we get a palindrome (2315665132).

The spelling of 2005420130 in words is "two billion, five million, four hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 578 595 1190 1445 2023 2890 4046 10115 20230 99131 198262 495655 693917 991310 1387834 1685227 3370454 3469585 6939170 8426135 11796589 16852270 23593178 28648859 57297718 58982945 117965890 143244295 200542013 286488590 401084026 1002710065 2005420130