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204135400 = 235271391049
BaseRepresentation
bin11000010101011…
…01101111101000
3112020010011010101
430022231233220
5404224313100
632131155144
75026056640
oct1412555750
9466104111
10204135400
11a5257a47
1258445ab4
13333a46a1
141d17b520
1512dc486a
hexc2adbe8

204135400 has 96 divisors (see below), whose sum is σ = 546840000. Its totient is φ = 69419520.

The previous prime is 204135389. The next prime is 204135413. The reversal of 204135400 is 4531402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194076 + ... + 195124.

It is an arithmetic number, because the mean of its divisors is an integer number (5696250).

Almost surely, 2204135400 is an apocalyptic number.

204135400 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 204135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420000).

204135400 is an abundant number, since it is smaller than the sum of its proper divisors (342704600).

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

204135400 is a wasteful number, since it uses less digits than its factorization.

204135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 204135400 is about 14287.5960189249. The cubic root of 204135400 is about 588.8067427576.

Adding to 204135400 its reverse (4531402), we get a palindrome (208666802).

The spelling of 204135400 in words is "two hundred four million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 139 140 175 200 278 280 350 556 695 700 973 1049 1112 1390 1400 1946 2098 2780 3475 3892 4196 4865 5245 5560 6950 7343 7784 8392 9730 10490 13900 14686 19460 20980 24325 26225 27800 29372 36715 38920 41960 48650 52450 58744 73430 97300 104900 145811 146860 183575 194600 209800 291622 293720 367150 583244 729055 734300 1020677 1166488 1458110 1468600 2041354 2916220 3645275 4082708 5103385 5832440 7290550 8165416 10206770 14581100 20413540 25516925 29162200 40827080 51033850 102067700 204135400