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2430190140 = 2235729199523
BaseRepresentation
bin1001000011011001…
…1100001000111100
320021100211110011020
42100312130020330
514434112041030
61041051224140
7114136163310
oct22066341074
96240743136
102430190140
111037862904
12579a48050
132c9629341
14190a7bb40
15e353b510
hex90d9c23c

2430190140 has 96 divisors (see below), whose sum is σ = 8044807680. Its totient is φ = 536315136.

The previous prime is 2430190109. The next prime is 2430190141. The reversal of 2430190140 is 410910342.

It is a self number, because there is not a number n which added to its sum of digits gives 2430190140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430190141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87582 + ... + 111941.

It is an arithmetic number, because the mean of its divisors is an integer number (83800080).

Almost surely, 22430190140 is an apocalyptic number.

2430190140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430190140 is an abundant number, since it is smaller than the sum of its proper divisors (5614617540).

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

2430190140 is a wasteful number, since it uses less digits than its factorization.

2430190140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199571 (or 199569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2430190140 is about 49296.9587297229. The cubic root of 2430190140 is about 1344.4564886616.

The spelling of 2430190140 in words is "two billion, four hundred thirty million, one hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 199523 399046 598569 798092 997615 1197138 1396661 1995230 2394276 2793322 2992845 3990460 4189983 5586644 5786167 5985690 6983305 8379966 11572334 11971380 13966610 16759932 17358501 20949915 23144668 27933220 28930835 34717002 40503169 41899830 57861670 69434004 81006338 83799660 86792505 115723340 121509507 162012676 173585010 202515845 243019014 347170020 405031690 486038028 607547535 810063380 1215095070 2430190140