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560038820 = 2251121713613
BaseRepresentation
bin100001011000011…
…000001110100100
31110000210220211112
4201120120032210
52121332220240
6131323324152
716610152145
oct4130301644
91400726745
10560038820
11268144500
12137680658
138c046923
1454543acc
1534277665
hex216183a4

560038820 has 72 divisors (see below), whose sum is σ = 1368860472. Its totient is φ = 191656960.

The previous prime is 560038811. The next prime is 560038867. The reversal of 560038820 is 28830065.

It can be written as a sum of positive squares in 4 ways, for example, as 3833764 + 556205056 = 1958^2 + 23584^2 .

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 23 ways as a sum of consecutive naturals, for example, 34334 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (19011951).

Almost surely, 2560038820 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 560038820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684430236).

560038820 is an abundant number, since it is smaller than the sum of its proper divisors (808821652).

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

560038820 is a wasteful number, since it uses less digits than its factorization.

560038820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13661 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 560038820 is about 23665.1393403884. The cubic root of 560038820 is about 824.2761057473.

Adding to 560038820 its reverse (28830065), we get a palindrome (588868885).

The spelling of 560038820 in words is "five hundred sixty million, thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 13613 20570 27226 41140 54452 68065 136130 149743 231421 272260 299486 462842 598972 748715 925684 1157105 1497430 1647173 2314210 2545631 2994860 3294346 4628420 5091262 6588692 8235865 10182524 12728155 16471730 25456310 28001941 32943460 50912620 56003882 112007764 140009705 280019410 560038820