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204930 = 23451123
BaseRepresentation
bin110010000010000010
3101102010000
4302002002
523024210
64220430
71512315
oct620202
9342100
10204930
1112aa70
129a716
137237b
145497c
1540ac0
hex32082

204930 has 80 divisors (see below), whose sum is σ = 627264. Its totient is φ = 47520.

The previous prime is 204923. The next prime is 204931. The reversal of 204930 is 39402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204931) by changing a digit.

204930 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 (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8899 + ... + 8921.

2204930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313632).

204930 is an abundant number, since it is smaller than the sum of its proper divisors (422334).

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

204930 is a wasteful number, since it uses less digits than its factorization.

204930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 204930 is about 452.6919482385. The cubic root of 204930 is about 58.9569733219.

It can be divided in two parts, 20 and 4930, that added together give a triangular number (4950 = T99).

The spelling of 204930 in words is "two hundred four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 81 90 99 110 115 135 138 162 165 198 207 230 253 270 297 330 345 405 414 495 506 594 621 690 759 810 891 990 1035 1242 1265 1485 1518 1782 1863 2070 2277 2530 2970 3105 3726 3795 4455 4554 6210 6831 7590 8910 9315 11385 13662 18630 20493 22770 34155 40986 68310 102465 204930