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542531010 = 23575474723
BaseRepresentation
bin100000010101100…
…101110111000010
31101210212102122010
4200111211313002
52102341443020
6125500153350
716305303030
oct4025456702
91353772563
10542531010
1125927663a
12131838856
1388526988
14520a7550
1532969de0
hex20565dc2

542531010 has 64 divisors (see below), whose sum is σ = 1491121152. Its totient is φ = 123754176.

The previous prime is 542530987. The next prime is 542531023. The reversal of 542531010 is 10135245.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 112509 + ... + 117231.

It is an arithmetic number, because the mean of its divisors is an integer number (23298768).

Almost surely, 2542531010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542531010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745560576).

542531010 is an abundant number, since it is smaller than the sum of its proper divisors (948590142).

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

542531010 is a wasteful number, since it uses less digits than its factorization.

542531010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 542531010 is about 23292.2950779866. The cubic root of 542531010 is about 815.5955650334.

Adding to 542531010 its reverse (10135245), we get a palindrome (552666255).

The spelling of 542531010 in words is "five hundred forty-two million, five hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 547 1094 1641 2735 3282 3829 4723 5470 7658 8205 9446 11487 14169 16410 19145 22974 23615 28338 33061 38290 47230 57435 66122 70845 99183 114870 141690 165305 198366 330610 495915 991830 2583481 5166962 7750443 12917405 15500886 18084367 25834810 36168734 38752215 54253101 77504430 90421835 108506202 180843670 271265505 542531010