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542014660 = 225112972309
BaseRepresentation
bin100000010011100…
…111110011000100
31101202220012100001
4200103213303010
52102223432120
6125441131044
716301022445
oct4023476304
91352805301
10542014660
11258a53700
12131629a84
13883a5945
1451db12cc
15328b6e0a
hex204e7cc4

542014660 has 72 divisors (see below), whose sum is σ = 1264558680. Its totient is φ = 194979840.

The previous prime is 542014637. The next prime is 542014673. The reversal of 542014660 is 66410245.

It can be written as a sum of positive squares in 4 ways, for example, as 115261696 + 426752964 = 10736^2 + 20658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233586 + ... + 235894.

It is an arithmetic number, because the mean of its divisors is an integer number (17563315).

Almost surely, 2542014660 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 542014660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632279340).

542014660 is an abundant number, since it is smaller than the sum of its proper divisors (722544020).

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

542014660 is a wasteful number, since it uses less digits than its factorization.

542014660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 542014660 is about 23281.2083019761. The cubic root of 542014660 is about 815.3367371591.

The spelling of 542014660 in words is "five hundred forty-two million, fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 121 194 220 242 388 484 485 605 970 1067 1210 1940 2134 2309 2420 4268 4618 5335 9236 10670 11545 11737 21340 23090 23474 25399 46180 46948 50798 58685 101596 117370 126995 223973 234740 253990 279389 447946 507980 558778 895892 1117556 1119865 1396945 2239730 2463703 2793890 4479460 4927406 5587780 9854812 12318515 24637030 27100733 49274060 54201466 108402932 135503665 271007330 542014660