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142209 = 3323229
BaseRepresentation
bin100010101110000001
321020002000
4202232001
514022314
63014213
71131414
oct425601
9236060
10142209
1197931
126a369
134c962
1439b7b
152c209
hex22b81

142209 has 16 divisors (see below), whose sum is σ = 220800. Its totient is φ = 90288.

The previous prime is 142193. The next prime is 142211. The reversal of 142209 is 902241.

It is not a de Polignac number, because 142209 - 24 = 142193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142191 and 142200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142209.

It is not an unprimeable number, because it can be changed into a prime (142609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 507 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (13800).

2142209 is an apocalyptic number.

It is an amenable number.

142209 is a deficient number, since it is larger than the sum of its proper divisors (78591).

142209 is a wasteful number, since it uses less digits than its factorization.

142209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 142209 is about 377.1060858697. The cubic root of 142209 is about 52.1966175639.

It can be divided in two parts, 142 and 209, that added together give a triangular number (351 = T26).

The spelling of 142209 in words is "one hundred forty-two thousand, two hundred nine".

Divisors: 1 3 9 23 27 69 207 229 621 687 2061 5267 6183 15801 47403 142209