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561505660 = 225411634201
BaseRepresentation
bin100001011101111…
…110010101111100
31110010120102221221
4201131332111330
52122221140120
6131415003124
716625501512
oct4135762574
91403512857
10561505660
11268a56571
121380694a4
138c43b491
14548064b2
15344670aa
hex2177e57c

561505660 has 48 divisors (see below), whose sum is σ = 1215621792. Its totient is φ = 217728000.

The previous prime is 561505649. The next prime is 561505669. The reversal of 561505660 is 66505165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561505669) 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, 131560 + ... + 135760.

It is an arithmetic number, because the mean of its divisors is an integer number (25325454).

Almost surely, 2561505660 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 561505660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607810896).

561505660 is an abundant number, since it is smaller than the sum of its proper divisors (654116132).

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

561505660 is a wasteful number, since it uses less digits than its factorization.

561505660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 561505660 is about 23696.1106513284. The cubic root of 561505660 is about 824.9951196528.

The spelling of 561505660 in words is "five hundred sixty-one million, five hundred five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 326 410 652 815 820 1630 3260 4201 6683 8402 13366 16804 21005 26732 33415 42010 66830 84020 133660 172241 344482 684763 688964 861205 1369526 1722410 2739052 3423815 3444820 6847630 13695260 28075283 56150566 112301132 140376415 280752830 561505660