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560964042 = 236715419
BaseRepresentation
bin100001011011111…
…010000111001010
31110002112221000000
4201123322013022
52122101322132
6131355223430
716621054452
oct4133720712
91402487000
10560964042
11268716651
12137a47b76
138c2abab2
1454704d62
15343ab87c
hex216fa1ca

560964042 has 56 divisors (see below), whose sum is σ = 1279596960. Its totient is φ = 184320360.

The previous prime is 560963969. The next prime is 560964071. The reversal of 560964042 is 240469065.

560964042 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 640 + 4 + 2 = 666.

560964042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 560963988 and 560964006.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 100809 + ... + 106227.

Almost surely, 2560964042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560964042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639798480).

560964042 is an abundant number, since it is smaller than the sum of its proper divisors (718632918).

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

560964042 is an equidigital number, since it uses as much as digits as its factorization.

560964042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 560964042 is about 23684.6794785152. The cubic root of 560964042 is about 824.7297759621.

The spelling of 560964042 in words is "five hundred sixty million, nine hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 729 1278 1458 1917 3834 5419 5751 10838 11502 16257 17253 32514 34506 48771 51759 97542 103518 146313 292626 384749 438939 769498 877878 1154247 1316817 2308494 2633634 3462741 3950451 6925482 7900902 10388223 20776446 31164669 62329338 93494007 186988014 280482021 560964042