204120 has 112 divisors (see below), whose sum is σ = 786960. Its totient is φ = 46656.

The previous prime is 204107. The next prime is 204133. The reversal of 204120 is 21402.

204120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204107) and next prime (204133).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 204120.

It is an unprimeable number.

204120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29157 + ... + 29163.

2^{204120} is an apocalyptic number.

204120 is a gapful number since it is divisible by the number (20) 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 204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393480).

204120 is an abundant number, since it is smaller than the sum of its proper divisors (582840).

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

204120 is an equidigital number, since it uses as much as digits as its factorization.

204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

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

The square root of 204120 is about 451.7964143284. The cubic root of 204120 is about 58.8791935834.

Adding to 204120 its reverse (21402), we get a palindrome (225522).

It can be divided in two parts, 204 and 120, that added together give a square (324 = 18^{2}).

The spelling of 204120 in words is "two hundred four thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 243 252 270 280 315 324 360 378 405 420 486 504 540 567 630 648 729 756 810 840 945 972 1080 1134 1215 1260 1458 1512 1620 1701 1890 1944 2268 2430 2520 2835 2916 3240 3402 3645 3780 4536 4860 5103 5670 5832 6804 7290 7560 8505 9720 10206 11340 13608 14580 17010 20412 22680 25515 29160 34020 40824 51030 68040 102060 204120

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