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561600060 = 223573771509
BaseRepresentation
bin100001011110010…
…101011000111100
31110010202020110020
4201132111120330
52122232200220
6131421012140
716626343650
oct4136253074
91403666406
10561600060
1126901048a
121380b4050
138c472438
145482ca60
1534485040
hex2179563c

561600060 has 192 divisors, whose sum is σ = 1875363840. Its totient is φ = 122895360.

The previous prime is 561600059. The next prime is 561600079. The reversal of 561600060 is 60006165.

561600060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 561600060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103086 + ... + 1103594.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2561600060 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 561600060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

561600060 is an abundant number, since it is smaller than the sum of its proper divisors (1313763780).

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

561600060 is a wasteful number, since it uses less digits than its factorization.

561600060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 561600060 is about 23698.1024556820. The cubic root of 561600060 is about 825.0413496263.

The spelling of 561600060 in words is "five hundred sixty-one million, six hundred thousand, sixty".