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563201340 = 2235134991447
BaseRepresentation
bin100001100100011…
…100010100111100
31110020202120222220
4201210130110330
52123134420330
6131515205340
716646063262
oct4144342474
91406676886
10563201340
11269a04559
12138746850
138c8b3240
1454b28432
153469e710
hex2191c53c

563201340 has 96 divisors (see below), whose sum is σ = 1702848000. Its totient is φ = 138260736.

The previous prime is 563201339. The next prime is 563201341. The reversal of 563201340 is 43102365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (563201339) and next prime (563201341).

It is a self number, because there is not a number n which added to its sum of digits gives 563201340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563201341) 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 31 ways as a sum of consecutive naturals, for example, 388497 + ... + 389943.

It is an arithmetic number, because the mean of its divisors is an integer number (17738000).

Almost surely, 2563201340 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 563201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851424000).

563201340 is an abundant number, since it is smaller than the sum of its proper divisors (1139646660).

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

563201340 is a wasteful number, since it uses less digits than its factorization.

563201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 563201340 is about 23731.8633908086. The cubic root of 563201340 is about 825.8247473150.

The spelling of 563201340 in words is "five hundred sixty-three million, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 499 780 998 1447 1497 1996 2495 2894 2994 4341 4990 5788 5988 6487 7235 7485 8682 9980 12974 14470 14970 17364 18811 19461 21705 25948 28940 29940 32435 37622 38922 43410 56433 64870 75244 77844 86820 94055 97305 112866 129740 188110 194610 225732 282165 376220 389220 564330 722053 1128660 1444106 2166159 2888212 3610265 4332318 7220530 8664636 9386689 10830795 14441060 18773378 21661590 28160067 37546756 43323180 46933445 56320134 93866890 112640268 140800335 187733780 281600670 563201340