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565816340 = 225315367257
BaseRepresentation
bin100001101110011…
…010110000010100
31110102200110002202
4201232122300110
52124322110330
6132051224032
720010234215
oct4156326024
91412613082
10565816340
11270430211
121395a8018
13902ba58b
145520940c
1534a19445
hex21b9ac14

565816340 has 96 divisors (see below), whose sum is σ = 1273273344. Its totient is φ = 210862080.

The previous prime is 565816289. The next prime is 565816351. The reversal of 565816340 is 43618565.

It is a super-2 number, since 2×5658163402 = 640296261221991200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 565816294 and 565816303.

It is a congruent number.

It is an unprimeable number.

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, 2201492 + ... + 2201748.

It is an arithmetic number, because the mean of its divisors is an integer number (13263264).

Almost surely, 2565816340 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 565816340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636636672).

565816340 is an abundant number, since it is smaller than the sum of its proper divisors (707457004).

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

565816340 is a wasteful number, since it uses less digits than its factorization.

565816340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 565816340 is about 23786.8942907644. The cubic root of 565816340 is about 827.1009031341.

The spelling of 565816340 in words is "five hundred sixty-five million, eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 53 62 67 106 124 134 155 212 257 265 268 310 335 514 530 620 670 1028 1060 1285 1340 1643 2077 2570 3286 3551 4154 5140 6572 7102 7967 8215 8308 10385 13621 14204 15934 16430 17219 17755 20770 27242 31868 32860 34438 35510 39835 41540 54484 68105 68876 71020 79670 86095 110081 136210 159340 172190 220162 272420 344380 422251 440324 533789 550405 844502 912607 1067578 1100810 1689004 1825214 2111255 2135156 2201620 2668945 3650428 4222510 4563035 5337890 8445020 9126070 10675780 18252140 28290817 56581634 113163268 141454085 282908170 565816340