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560076096 = 263103127223
BaseRepresentation
bin100001011000100…
…001010101000000
31110000212210222010
4201120201111000
52121334413341
6131324212520
716610365626
oct4130412500
91400783863
10560076096
1126816a508
1213769a140
138c05a898
1454553516
1534283716
hex21621540

560076096 has 112 divisors (see below), whose sum is σ = 1514799104. Its totient is φ = 182601216.

The previous prime is 560076089. The next prime is 560076119. The reversal of 560076096 is 690670065.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511441 + ... + 2511663.

It is an arithmetic number, because the mean of its divisors is an integer number (13524992).

Almost surely, 2560076096 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 560076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757399552).

560076096 is an abundant number, since it is smaller than the sum of its proper divisors (954723008).

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

560076096 is a wasteful number, since it uses less digits than its factorization.

560076096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 560076096 is about 23665.9268992364. The cubic root of 560076096 is about 824.2943931905.

The spelling of 560076096 in words is "five hundred sixty million, seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 127 192 206 223 254 309 381 412 446 508 618 669 762 824 892 1016 1236 1338 1524 1648 1784 2032 2472 2676 3048 3296 3568 4064 4944 5352 6096 6592 7136 8128 9888 10704 12192 13081 14272 19776 21408 22969 24384 26162 28321 39243 42816 45938 52324 56642 68907 78486 84963 91876 104648 113284 137814 156972 169926 183752 209296 226568 275628 313944 339852 367504 418592 453136 551256 627888 679704 735008 837184 906272 1102512 1255776 1359408 1470016 1812544 2205024 2511552 2718816 2917063 4410048 5437632 5834126 8751189 11668252 17502378 23336504 35004756 46673008 70009512 93346016 140019024 186692032 280038048 560076096