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543242960 = 245132292281
BaseRepresentation
bin100000011000010…
…011101011010000
31101212012121020122
4200120103223100
52103032233320
6125523325412
716314326501
oct4030235320
91355177218
10543242960
11259712527
12131b20868
1388715a50
1452210ba8
1532a5ad25
hex20613ad0

543242960 has 80 divisors (see below), whose sum is σ = 1366735440. Its totient is φ = 199618560.

The previous prime is 543242933. The next prime is 543243017. The reversal of 543242960 is 69242345.

It can be written as a sum of positive squares in 8 ways, for example, as 1098304 + 542144656 = 1048^2 + 23284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5432429602 = 590225827179123200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 543242960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237020 + ... + 239300.

It is an arithmetic number, because the mean of its divisors is an integer number (17084193).

Almost surely, 2543242960 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 543242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683367720).

543242960 is an abundant number, since it is smaller than the sum of its proper divisors (823492480).

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

543242960 is a wasteful number, since it uses less digits than its factorization.

543242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 543242960 is about 23307.5730182274. The cubic root of 543242960 is about 815.9521710400.

The spelling of 543242960 in words is "five hundred forty-three million, two hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 229 260 458 520 916 1040 1145 1832 2281 2290 2977 3664 4562 4580 5954 9124 9160 11405 11908 14885 18248 18320 22810 23816 29653 29770 36496 45620 47632 59306 59540 91240 118612 119080 148265 182480 237224 238160 296530 474448 522349 593060 1044698 1186120 2089396 2372240 2611745 4178792 5223490 6790537 8357584 10446980 13581074 20893960 27162148 33952685 41787920 54324296 67905370 108648592 135810740 271621480 543242960