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560240256 = 27323229277
BaseRepresentation
bin100001011001001…
…001011010000000
31110001012011011010
4201121021122000
52121410142011
6131331520520
716611651342
oct4131113200
91401164133
10560240256
11268271884
12137759140
138c0b7514
1454597292
15342b71a6
hex21649680

560240256 has 128 divisors (see below), whose sum is σ = 1565251200. Its totient is φ = 177205248.

The previous prime is 560240243. The next prime is 560240257. The reversal of 560240256 is 652042065.

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 (560240257) 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, 2022390 + ... + 2022666.

It is an arithmetic number, because the mean of its divisors is an integer number (12228525).

Almost surely, 2560240256 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 560240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782625600).

560240256 is an abundant number, since it is smaller than the sum of its proper divisors (1005010944).

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

560240256 is a wasteful number, since it uses less digits than its factorization.

560240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 560240256 is about 23669.3949225577. The cubic root of 560240256 is about 824.3749197179.

The spelling of 560240256 in words is "five hundred sixty million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 229 276 277 368 384 458 552 554 687 736 831 916 1104 1108 1374 1472 1662 1832 2208 2216 2748 2944 3324 3664 4416 4432 5267 5496 6371 6648 7328 8832 8864 10534 10992 12742 13296 14656 15801 17728 19113 21068 21984 25484 26592 29312 31602 35456 38226 42136 43968 50968 53184 63204 63433 76452 84272 87936 101936 106368 126408 126866 152904 168544 190299 203872 252816 253732 305808 337088 380598 407744 505632 507464 611616 674176 761196 815488 1011264 1014928 1223232 1458959 1522392 2022528 2029856 2446464 2917918 3044784 4059712 4376877 5835836 6089568 8119424 8753754 11671672 12179136 17507508 23343344 24358272 35015016 46686688 70030032 93373376 140060064 186746752 280120128 560240256