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561330540 = 223356117041
BaseRepresentation
bin100001011101010…
…011100101101100
31110010020112202000
4201131103211230
52122200034130
6131411132300
716624142121
oct4135234554
91403215660
10561330540
11268946a41
12137ba4090
138c3a9864
145479c748
1534430260
hex2175396c

561330540 has 96 divisors (see below), whose sum is σ = 1775094720. Its totient is φ = 147225600.

The previous prime is 561330439. The next prime is 561330569. The reversal of 561330540 is 45033165.

561330540 is a `hidden beast` number, since 5 + 613 + 3 + 0 + 5 + 40 = 666.

561330540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24420 + ... + 41460.

It is an arithmetic number, because the mean of its divisors is an integer number (18490570).

Almost surely, 2561330540 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 561330540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887547360).

561330540 is an abundant number, since it is smaller than the sum of its proper divisors (1213764180).

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

561330540 is a wasteful number, since it uses less digits than its factorization.

561330540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17112 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 561330540 is about 23692.4152420136. The cubic root of 561330540 is about 824.9093454107.

The spelling of 561330540 in words is "five hundred sixty-one million, three hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 17041 32940 34082 51123 68164 85205 102246 153369 170410 204492 255615 306738 340820 460107 511230 613476 766845 920214 1022460 1039501 1533690 1840428 2079002 2300535 3067380 3118503 4158004 4601070 5197505 6237006 9202140 9355509 10395010 12474012 15592515 18711018 20790020 28066527 31185030 37422036 46777545 56133054 62370060 93555090 112266108 140332635 187110180 280665270 561330540