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561060096 = 2831494903
BaseRepresentation
bin100001011100010…
…001100100000000
31110002201210202120
4201130101210000
52122112410341
6131401244240
716621634502
oct4134214400
91402653676
10561060096
11268781833
12137a93680
138c31372c
145472bd72
15343ca066
hex21711900

561060096 has 72 divisors (see below), whose sum is σ = 1503566400. Its totient is φ = 185726976.

The previous prime is 561060089. The next prime is 561060109. The reversal of 561060096 is 690060165.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111981 + ... + 116883.

Almost surely, 2561060096 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 561060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751783200).

561060096 is an abundant number, since it is smaller than the sum of its proper divisors (942506304).

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

561060096 is a wasteful number, since it uses less digits than its factorization.

561060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 561060096 is about 23686.7071582354. The cubic root of 561060096 is about 824.7768461644.

The spelling of 561060096 in words is "five hundred sixty-one million, sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 894 1192 1788 2384 3576 4768 4903 7152 9536 9806 14304 14709 19072 19612 28608 29418 38144 39224 57216 58836 78448 114432 117672 156896 235344 313792 470688 627584 730547 941376 1255168 1461094 1882752 2191641 2922188 3765504 4383282 5844376 8766564 11688752 17533128 23377504 35066256 46755008 70132512 93510016 140265024 187020032 280530048 561060096