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560681088 = 2731131097
BaseRepresentation
bin100001011010110…
…101000010000000
31110002000112212020
4201122311002000
52122013243323
6131345201440
716615465512
oct4132650200
91402015766
10560681088
11268543000
12137930280
138c210076
145466dbb2
1534352ae3
hex216b5080

560681088 has 128 divisors (see below), whose sum is σ = 1639621440. Its totient is φ = 169748480.

The previous prime is 560681087. The next prime is 560681101. The reversal of 560681088 is 880186065.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (560681083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510556 + ... + 511652.

Almost surely, 2560681088 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 560681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819810720).

560681088 is an abundant number, since it is smaller than the sum of its proper divisors (1078940352).

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

560681088 is a wasteful number, since it uses less digits than its factorization.

560681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 560681088 is about 23678.7053700155. The cubic root of 560681088 is about 824.5910862430.

The spelling of 560681088 in words is "five hundred sixty million, six hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1097 1331 1408 1452 1936 2112 2194 2662 2904 3291 3872 3993 4224 4388 5324 5808 6582 7744 7986 8776 10648 11616 12067 13164 15488 15972 17552 21296 23232 24134 26328 31944 35104 36201 42592 46464 48268 52656 63888 70208 72402 85184 96536 105312 127776 132737 140416 144804 170368 193072 210624 255552 265474 289608 386144 398211 421248 511104 530948 579216 772288 796422 1061896 1158432 1460107 1544576 1592844 2123792 2316864 2920214 3185688 4247584 4380321 4633728 5840428 6371376 8495168 8760642 11680856 12742752 16990336 17521284 23361712 25485504 35042568 46723424 50971008 70085136 93446848 140170272 186893696 280340544 560681088