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204020300 = 225211312193
BaseRepresentation
bin11000010100100…
…01101001001100
3112012220022020102
430022101221030
5404212122200
632124510232
75025100241
oct1412215114
9465808212
10204020300
11a5189520
12583ab378
1333364193
141d14b5c8
1512da06d5
hexc291a4c

204020300 has 108 divisors (see below), whose sum is σ = 501639768. Its totient is φ = 71424000.

The previous prime is 204020291. The next prime is 204020329. The reversal of 204020300 is 3020402.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1057004 + ... + 1057196.

Almost surely, 2204020300 is an apocalyptic number.

204020300 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 204020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250819884).

204020300 is an abundant number, since it is smaller than the sum of its proper divisors (297619468).

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

204020300 is a wasteful number, since it uses less digits than its factorization.

204020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 204020300 is about 14283.5674815503. The cubic root of 204020300 is about 588.6960574028.

Adding to 204020300 its reverse (3020402), we get a palindrome (207040702).

The spelling of 204020300 in words is "two hundred four million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 193 220 275 310 341 386 550 620 682 772 775 961 965 1100 1364 1550 1705 1922 1930 2123 3100 3410 3844 3860 4246 4805 4825 5983 6820 8492 8525 9610 9650 10571 10615 11966 17050 19220 19300 21142 21230 23932 24025 29915 34100 42284 42460 48050 52855 53075 59830 65813 96100 105710 106150 119660 131626 149575 185473 211420 212300 263252 264275 299150 329065 370946 528550 598300 658130 741892 927365 1057100 1316260 1645325 1854730 2040203 3290650 3709460 4080406 4636825 6581300 8160812 9273650 10201015 18547300 20402030 40804060 51005075 102010150 204020300