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566412340 = 2251329431747
BaseRepresentation
bin100001110000101…
…100010000110100
31110110210201122211
4201300230100310
52130000143330
6132112103204
720015265634
oct4160542064
91413721584
10566412340
112707a7a7a
12139834b04
1390468940
14553226c4
1534ad5d2a
hex21c2c434

566412340 has 96 divisors (see below), whose sum is σ = 1356727680. Its totient is φ = 197116416.

The previous prime is 566412313. The next prime is 566412359. The reversal of 566412340 is 43214665.

It is a super-3 number, since 3×5664123403 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323347 + ... + 325093.

It is an arithmetic number, because the mean of its divisors is an integer number (14132580).

Almost surely, 2566412340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678363840).

566412340 is an abundant number, since it is smaller than the sum of its proper divisors (790315340).

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

566412340 is a wasteful number, since it uses less digits than its factorization.

566412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 566412340 is about 23799.4189004690. The cubic root of 566412340 is about 827.3912088521.

The spelling of 566412340 in words is "five hundred sixty-six million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 43 52 58 65 86 116 130 145 172 215 260 290 377 430 559 580 754 860 1118 1247 1508 1747 1885 2236 2494 2795 3494 3770 4988 5590 6235 6988 7540 8735 11180 12470 16211 17470 22711 24940 32422 34940 45422 50663 64844 75121 81055 90844 101326 113555 150242 162110 202652 227110 253315 300484 324220 375605 454220 506630 658619 751210 976573 1013260 1317238 1502420 1953146 2178509 2634476 3293095 3906292 4357018 4882865 6586190 8714036 9765730 10892545 13172380 19531460 21785090 28320617 43570180 56641234 113282468 141603085 283206170 566412340