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42006107 = 1113293749
BaseRepresentation
bin1010000000111…
…1011001011011
32221001010112202
42200033121123
541223143412
64100200415
71020021533
oct240173133
987033482
1042006107
11217908a0
121209910b
1389199b0
1458164c3
153a4b3c2
hex280f65b

42006107 has 8 divisors (see below), whose sum is σ = 49350000. Its totient is φ = 35249760.

The previous prime is 42006089. The next prime is 42006127. The reversal of 42006107 is 70160024.

42006107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42006107 - 216 = 41940571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42006127) 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, 146732 + ... + 147017.

It is an arithmetic number, because the mean of its divisors is an integer number (6168750).

Almost surely, 242006107 is an apocalyptic number.

42006107 is a deficient number, since it is larger than the sum of its proper divisors (7343893).

42006107 is a wasteful number, since it uses less digits than its factorization.

42006107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293773.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 42006107 is about 6481.2118465608. The cubic root of 42006107 is about 347.6195113664.

The spelling of 42006107 in words is "forty-two million, six thousand, one hundred seven".

Divisors: 1 11 13 143 293749 3231239 3818737 42006107