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120204 = 2234753
BaseRepresentation
bin11101010110001100
320002220000
4131112030
512321304
62324300
71010310
oct352614
9202800
10120204
1182347
1259690
1342936
1431b40
1525939
hex1d58c

120204 has 60 divisors (see below), whose sum is σ = 365904. Its totient is φ = 33696.

The previous prime is 120199. The next prime is 120209. The reversal of 120204 is 402021.

It is an interprime number because it is at equal distance from previous prime (120199) and next prime (120209).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120209) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2242 + ... + 2294.

2120204 is an apocalyptic number.

120204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952).

120204 is an abundant number, since it is smaller than the sum of its proper divisors (245700).

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

120204 is a wasteful number, since it uses less digits than its factorization.

120204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120204 is about 346.7044851166. The cubic root of 120204 is about 49.3521760665.

Adding to 120204 its reverse (402021), we get a palindrome (522225).

It can be divided in two parts, 120 and 204, that added together give a square (324 = 182).

The spelling of 120204 in words is "one hundred twenty thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3339 4293 4452 5724 6678 8586 10017 13356 17172 20034 30051 40068 60102 120204