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542364660 = 22345334793
BaseRepresentation
bin100000010100111…
…101001111110100
31101210112222110000
4200110331033310
52102321132120
6125452431300
716304011035
oct4024751764
91353488400
10542364660
11259172662
12131778530
1388499046
1452062a8c
1532935990
hex2053d3f4

542364660 has 60 divisors (see below), whose sum is σ = 1701423108. Its totient is φ = 144630144.

The previous prime is 542364653. The next prime is 542364661. The reversal of 542364660 is 66463245.

542364660 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 646 + 6 + 0 = 666.

542364660 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176943204 + 365421456 = 13302^2 + 19116^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542364661) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165777 + ... + 169016.

Almost surely, 2542364660 is an apocalyptic number.

It is an amenable number.

542364660 is an abundant number, since it is smaller than the sum of its proper divisors (1159058448).

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

542364660 is a wasteful number, since it uses less digits than its factorization.

542364660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334814 (or 334803 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 542364660 is about 23288.7238808828. The cubic root of 542364660 is about 815.5121976382.

The spelling of 542364660 in words is "five hundred forty-two million, three hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 334793 669586 1004379 1339172 1673965 2008758 3013137 3347930 4017516 5021895 6026274 6695860 9039411 10043790 12052548 15065685 18078822 20087580 27118233 30131370 36157644 45197055 54236466 60262740 90394110 108472932 135591165 180788220 271182330 542364660