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561055360 = 2753128279
BaseRepresentation
bin100001011100010…
…000011010000000
31110002201120021011
4201130100122000
52122112232420
6131401210304
716621614625
oct4134203200
91402646234
10561055360
11268779218
12137a90994
138c311528
145472a34c
15343c895a
hex21710680

561055360 has 64 divisors (see below), whose sum is σ = 1384588800. Its totient is φ = 217175040.

The previous prime is 561055331. The next prime is 561055361. The reversal of 561055360 is 63550165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (561055361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5701 + ... + 33979.

It is an arithmetic number, because the mean of its divisors is an integer number (21634200).

Almost surely, 2561055360 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 561055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692294400).

561055360 is an abundant number, since it is smaller than the sum of its proper divisors (823533440).

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

561055360 is a wasteful number, since it uses less digits than its factorization.

561055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28329 (or 28317 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 561055360 is about 23686.6071863406. The cubic root of 561055360 is about 824.7745254658.

The spelling of 561055360 in words is "five hundred sixty-one million, fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 28279 56558 113116 141395 226232 282790 452464 565580 876649 904928 1131160 1753298 1809856 2262320 3506596 3619712 4383245 4524640 7013192 8766490 9049280 14026384 17532980 18098560 28052768 35065960 56105536 70131920 112211072 140263840 280527680 561055360