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561886680 = 233524119429
BaseRepresentation
bin100001011111011…
…011010111011000
31110011021210121210
4201133123113120
52122320333210
6131431103120
716631646405
oct4137332730
91404253553
10561886680
11269196863
12138211aa0
138c542a34
14548a52ac
15344dee20
hex217db5d8

561886680 has 64 divisors (see below), whose sum is σ = 1692741600. Its totient is φ = 149207040.

The previous prime is 561886679. The next prime is 561886747. The reversal of 561886680 is 86688165.

It is a happy number.

It is a super-2 number, since 2×5618866802 = 631433282322844800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19206 + ... + 38634.

Almost surely, 2561886680 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 561886680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846370800).

561886680 is an abundant number, since it is smaller than the sum of its proper divisors (1130854920).

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

561886680 is a wasteful number, since it uses less digits than its factorization.

561886680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19684 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 561886680 is about 23704.1490039191. The cubic root of 561886680 is about 825.1816826680.

The spelling of 561886680 in words is "five hundred sixty-one million, eight hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 19429 28920 38858 58287 77716 97145 116574 155432 194290 233148 291435 388580 466296 582870 777160 1165740 2331480 4682389 9364778 14047167 18729556 23411945 28094334 37459112 46823890 56188668 70235835 93647780 112377336 140471670 187295560 280943340 561886680