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560226096 = 243219832467
BaseRepresentation
bin100001011001000…
…101111100110000
31110001011102201200
4201121011330300
52121404213341
6131331331200
716611562143
oct4131057460
91401142650
10560226096
11268262181
12137750b00
138c0b0c41
145459205a
15342b2db6
hex21645f30

560226096 has 120 divisors (see below), whose sum is σ = 1670934720. Its totient is φ = 174711168.

The previous prime is 560226053. The next prime is 560226097. The reversal of 560226096 is 690622065.

560226096 is a `hidden beast` number, since 560 + 2 + 2 + 6 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 560226096.

It is not an unprimeable number, because it can be changed into a prime (560226097) 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, 225855 + ... + 228321.

It is an arithmetic number, because the mean of its divisors is an integer number (13924456).

Almost surely, 2560226096 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 560226096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835467360).

560226096 is an abundant number, since it is smaller than the sum of its proper divisors (1110708624).

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

560226096 is a wasteful number, since it uses less digits than its factorization.

560226096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 560226096 is about 23669.0958002202. The cubic root of 560226096 is about 824.3679743362.

The spelling of 560226096 in words is "five hundred sixty million, two hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 332 342 456 498 664 684 747 912 996 1328 1368 1494 1577 1992 2467 2736 2988 3154 3984 4731 4934 5976 6308 7401 9462 9868 11952 12616 14193 14802 18924 19736 22203 25232 28386 29604 37848 39472 44406 46873 56772 59208 75696 88812 93746 113544 118416 140619 177624 187492 204761 227088 281238 355248 374984 409522 421857 562476 614283 749968 819044 843714 1124952 1228566 1638088 1687428 1842849 2249904 2457132 3276176 3374856 3685698 3890459 4914264 6749712 7371396 7780918 9828528 11671377 14742792 15561836 23342754 29485584 31123672 35014131 46685508 62247344 70028262 93371016 140056524 186742032 280113048 560226096