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42134013 = 36291993
BaseRepresentation
bin1010000010111…
…0100111111101
32221021122000000
42200232213331
541241242023
64103024513
71021063455
oct240564775
987248000
1042134013
11218689a9
121213b139
138962c8c
14584ad65
153a74243
hex282e9fd

42134013 has 28 divisors (see below), whose sum is σ = 65383260. Its totient is φ = 27107136.

The previous prime is 42134003. The next prime is 42134021. The reversal of 42134013 is 31043124.

It can be written as a sum of positive squares in 2 ways, for example, as 26594649 + 15539364 = 5157^2 + 3942^2 .

It is not a de Polignac number, because 42134013 - 24 = 42133997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20145 + ... + 22137.

Almost surely, 242134013 is an apocalyptic number.

It is an amenable number.

42134013 is a deficient number, since it is larger than the sum of its proper divisors (23249247).

42134013 is an equidigital number, since it uses as much as digits as its factorization.

42134013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42134013 is about 6491.0717913146. The cubic root of 42134013 is about 347.9719805027.

Adding to 42134013 its reverse (31043124), we get a palindrome (73177137).

The spelling of 42134013 in words is "forty-two million, one hundred thirty-four thousand, thirteen".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 1993 2349 5979 7047 17937 21141 53811 57797 161433 173391 484299 520173 1452897 1560519 4681557 14044671 42134013