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560056056 = 23374337699
BaseRepresentation
bin100001011000011…
…100011011111000
31110000211210110220
4201120130123320
52121333243211
6131323540040
716610253330
oct4130343370
91400753426
10560056056
1126815644a
1213768a620
138c051721
145454a0c0
153427c806
hex2161c6f8

560056056 has 64 divisors (see below), whose sum is σ = 1604064000. Its totient is φ = 159625728.

The previous prime is 560056031. The next prime is 560056069. The reversal of 560056056 is 650650065.

560056056 is a modest number, since divided by 56056 gives 560 as remainder.

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, 68895 + ... + 76593.

It is an arithmetic number, because the mean of its divisors is an integer number (25063500).

Almost surely, 2560056056 is an apocalyptic number.

560056056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560056056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802032000).

560056056 is an abundant number, since it is smaller than the sum of its proper divisors (1044007944).

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

560056056 is a wasteful number, since it uses less digits than its factorization.

560056056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 560056056 is about 23665.5035019329. The cubic root of 560056056 is about 824.2845617547.

The spelling of 560056056 in words is "five hundred sixty million, fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 433 866 1299 1732 2598 3031 3464 5196 6062 7699 9093 10392 12124 15398 18186 23097 24248 30796 36372 46194 53893 61592 72744 92388 107786 161679 184776 215572 323358 431144 646716 1293432 3333667 6667334 10001001 13334668 20002002 23335669 26669336 40004004 46671338 70007007 80008008 93342676 140014014 186685352 280028028 560056056