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142104 = 23331191
BaseRepresentation
bin100010101100011000
321012221010
4202230120
514021404
63013520
71131204
oct425430
9235833
10142104
1197846
126a2a0
134c8b1
1439b04
152c189
hex22b18

142104 has 32 divisors (see below), whose sum is σ = 368640. Its totient is φ = 45600.

The previous prime is 142099. The next prime is 142111. The reversal of 142104 is 401241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 142104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142104.

It is an unprimeable number.

142104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2142104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320).

142104 is an abundant number, since it is smaller than the sum of its proper divisors (226536).

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

142104 is a wasteful number, since it uses less digits than its factorization.

142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142104 is about 376.9668420432. The cubic root of 142104 is about 52.1837679452.

Adding to 142104 its reverse (401241), we get a palindrome (543345).

The spelling of 142104 in words is "one hundred forty-two thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 191 248 372 382 573 744 764 1146 1528 2292 4584 5921 11842 17763 23684 35526 47368 71052 142104