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561641130 = 232537227743
BaseRepresentation
bin100001011110011…
…111011010101010
31110010211022210100
4201132133122222
52122240004010
6131421530230
716626604461
oct4136373252
91403738710
10561641130
11269039326
12138113976
138c48803b
145483d9d8
15344922c0
hex2179f6aa

561641130 has 96 divisors (see below), whose sum is σ = 1508367744. Its totient is φ = 144885888.

The previous prime is 561641107. The next prime is 561641137. The reversal of 561641130 is 31146165.

561641130 is a `hidden beast` number, since 5 + 6 + 1 + 641 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 561641094 and 561641103.

It is not an unprimeable number, because it can be changed into a prime (561641137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 755539 + ... + 756281.

It is an arithmetic number, because the mean of its divisors is an integer number (15712164).

Almost surely, 2561641130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561641130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754183872).

561641130 is an abundant number, since it is smaller than the sum of its proper divisors (946726614).

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

561641130 is a wasteful number, since it uses less digits than its factorization.

561641130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 561641130 is about 23698.9689649149. The cubic root of 561641130 is about 825.0614609859.

Adding to 561641130 its reverse (31146165), we get a palindrome (592787295).

The spelling of 561641130 in words is "five hundred sixty-one million, six hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 227 333 370 454 555 666 681 743 1110 1135 1362 1486 1665 2043 2229 2270 3330 3405 3715 4086 4458 6687 6810 7430 8399 10215 11145 13374 16798 20430 22290 25197 27491 33435 41995 50394 54982 66870 75591 82473 83990 125985 137455 151182 164946 168661 247419 251970 274910 337322 377955 412365 494838 505983 755910 824730 843305 1011966 1237095 1517949 1686610 2474190 2529915 3035898 5059830 6240457 7589745 12480914 15179490 18721371 31202285 37442742 56164113 62404570 93606855 112328226 187213710 280820565 561641130