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560995968 = 273131091031
BaseRepresentation
bin100001011100000…
…001111010000000
31110002121112210110
4201130001322000
52122103332333
6131400031320
716621246521
oct4134017200
91402545713
10560995968
11268738635
12137a62540
138c2c04a0
1454712848
15343b6063
hex21701e80

560995968 has 128 divisors (see below), whose sum is σ = 1621065600. Its totient is φ = 170864640.

The previous prime is 560995949. The next prime is 560995969. The reversal of 560995968 is 869599065.

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

It is a super-2 number, since 2×5609959682 = 629432952224514048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (560995969) 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, 543613 + ... + 544643.

It is an arithmetic number, because the mean of its divisors is an integer number (12664575).

Almost surely, 2560995968 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 560995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810532800).

560995968 is an abundant number, since it is smaller than the sum of its proper divisors (1060069632).

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

560995968 is a wasteful number, since it uses less digits than its factorization.

560995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The square root of 560995968 is about 23685.3534489144. The cubic root of 560995968 is about 824.7454215421.

The spelling of 560995968 in words is "five hundred sixty million, nine hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 312 327 384 416 436 624 654 832 872 1031 1248 1308 1417 1664 1744 2062 2496 2616 2834 3093 3488 4124 4251 4992 5232 5668 6186 6976 8248 8502 10464 11336 12372 13403 13952 16496 17004 20928 22672 24744 26806 32992 34008 40209 41856 45344 49488 53612 65984 68016 80418 90688 98976 107224 112379 131968 136032 160836 181376 197952 214448 224758 272064 321672 337137 395904 428896 449516 544128 643344 674274 857792 899032 1286688 1348548 1460927 1715584 1798064 2573376 2697096 2921854 3596128 4382781 5146752 5394192 5843708 7192256 8765562 10788384 11687416 14384512 17531124 21576768 23374832 35062248 43153536 46749664 70124496 93499328 140248992 186998656 280497984 560995968