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42107 = 134179
BaseRepresentation
bin1010010001111011
32010202112
422101323
52321412
6522535
7233522
oct122173
963675
1042107
11296aa
122044b
1316220
14114b9
15c722
hexa47b

42107 has 8 divisors (see below), whose sum is σ = 47040. Its totient is φ = 37440.

The previous prime is 42101. The next prime is 42131. The reversal of 42107 is 70124.

It is a happy number.

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

It is not a de Polignac number, because 42107 - 26 = 42043 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42091 and 42100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42107.

It is not an unprimeable number, because it can be changed into a prime (42101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

242107 is an apocalyptic number.

42107 is a deficient number, since it is larger than the sum of its proper divisors (4933).

42107 is a wasteful number, since it uses less digits than its factorization.

42107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 42107 is about 205.1999025341. The cubic root of 42107 is about 34.7897600558.

The spelling of 42107 in words is "forty-two thousand, one hundred seven", and thus it is an iban number.

Divisors: 1 13 41 79 533 1027 3239 42107