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42135310 = 2572326171
BaseRepresentation
bin1010000010111…
…0111100001110
32221021200210001
42200232330032
541241312220
64103034514
71021100320
oct240567416
987250701
1042135310
1121869978
121213ba3a
138963749
14584b610
153a7480a
hex282ef0e

42135310 has 32 divisors (see below), whose sum is σ = 90450432. Its totient is φ = 13817760.

The previous prime is 42135283. The next prime is 42135311. The reversal of 42135310 is 1353124.

42135310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421353102 = 3550768697592200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135311) 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 15 ways as a sum of consecutive naturals, for example, 11476 + ... + 14695.

It is an arithmetic number, because the mean of its divisors is an integer number (2826576).

Almost surely, 242135310 is an apocalyptic number.

42135310 is an abundant number, since it is smaller than the sum of its proper divisors (48315122).

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

42135310 is a wasteful number, since it uses less digits than its factorization.

42135310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26208.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 42135310 is about 6491.1716970051. The cubic root of 42135310 is about 347.9755509754.

Adding to 42135310 its reverse (1353124), we get a palindrome (43488434).

The spelling of 42135310 in words is "forty-two million, one hundred thirty-five thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 26171 52342 130855 183197 261710 366394 601933 915985 1203866 1831970 3009665 4213531 6019330 8427062 21067655 42135310