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542520180 = 22345334889
BaseRepresentation
bin100000010101100…
…011001101110100
31101210211212210000
4200111203031310
52102341121210
6125500031300
716305226326
oct4025431564
91353755700
10542520180
11259269494
12131832530
1388521a77
14520a3616
1532966ac0
hex20563374

542520180 has 60 divisors (see below), whose sum is σ = 1701910980. Its totient is φ = 144671616.

The previous prime is 542520131. The next prime is 542520191. The reversal of 542520180 is 81025245.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 194100624 + 348419556 = 13932^2 + 18666^2 .

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 (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 165825 + ... + 169064.

It is an arithmetic number, because the mean of its divisors is an integer number (28365183).

Almost surely, 2542520180 is an apocalyptic number.

It is an amenable number.

542520180 is an abundant number, since it is smaller than the sum of its proper divisors (1159390800).

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

542520180 is a wasteful number, since it uses less digits than its factorization.

542520180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334910 (or 334899 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 542520180 is about 23292.0625965156. The cubic root of 542520180 is about 815.5901380264.

The spelling of 542520180 in words is "five hundred forty-two million, five hundred twenty thousand, one hundred eighty".

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 334889 669778 1004667 1339556 1674445 2009334 3014001 3348890 4018668 5023335 6028002 6697780 9042003 10046670 12056004 15070005 18084006 20093340 27126009 30140010 36168012 45210015 54252018 60280020 90420030 108504036 135630045 180840060 271260090 542520180