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42135010 = 2517247853
BaseRepresentation
bin1010000010111…
…0110111100010
32221021200100221
42200232313202
541241310020
64103033254
71021066411
oct240566742
987250327
1042135010
1121869725
121213b82a
138963578
14584b478
153a746aa
hex282ede2

42135010 has 16 divisors (see below), whose sum is σ = 80304696. Its totient is φ = 15862528.

The previous prime is 42134987. The next prime is 42135013. The reversal of 42135010 is 1053124.

42135010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31888609 + 10246401 = 5647^2 + 3201^2 .

It is not an unprimeable number, because it can be changed into a prime (42135013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 123757 + ... + 124096.

Almost surely, 242135010 is an apocalyptic number.

42135010 is a deficient number, since it is larger than the sum of its proper divisors (38169686).

42135010 is a wasteful number, since it uses less digits than its factorization.

42135010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247877.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 42135010 is about 6491.1485886552. The cubic root of 42135010 is about 347.9747251208.

Adding to 42135010 its reverse (1053124), we get a palindrome (43188134).

The spelling of 42135010 in words is "forty-two million, one hundred thirty-five thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 247853 495706 1239265 2478530 4213501 8427002 21067505 42135010