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560312740 = 225132971709
BaseRepresentation
bin100001011001011…
…011000110100100
31110001022211120201
4201121123012210
52121420001430
6131333240244
716612402561
oct4131330644
91401284521
10560312740
11268311289
12137793084
138c111500
14545b5868
15342cd8ca
hex2165b1a4

560312740 has 72 divisors (see below), whose sum is σ = 1288019880. Its totient is φ = 204632064.

The previous prime is 560312737. The next prime is 560312749. The reversal of 560312740 is 47213065.

It can be written as a sum of positive squares in 12 ways, for example, as 420742144 + 139570596 = 20512^2 + 11814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 560312699 and 560312708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560312749) 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 23 ways as a sum of consecutive naturals, for example, 327006 + ... + 328714.

It is an arithmetic number, because the mean of its divisors is an integer number (17889165).

Almost surely, 2560312740 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 560312740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644009940).

560312740 is an abundant number, since it is smaller than the sum of its proper divisors (727707140).

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

560312740 is a wasteful number, since it uses less digits than its factorization.

560312740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 560312740 is about 23670.9260486361. The cubic root of 560312740 is about 824.4104707838.

The spelling of 560312740 in words is "five hundred sixty million, three hundred twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 169 194 260 338 388 485 676 845 970 1261 1690 1709 1940 2522 3380 3418 5044 6305 6836 8545 12610 16393 17090 22217 25220 32786 34180 44434 65572 81965 88868 111085 163930 165773 222170 288821 327860 331546 444340 577642 663092 828865 1155284 1444105 1657730 2155049 2888210 3315460 4310098 5776420 8620196 10775245 21550490 28015637 43100980 56031274 112062548 140078185 280156370 560312740