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204043120 = 24523173641
BaseRepresentation
bin11000010100101…
…11001101110000
3112012221110112121
430022113031300
5404213334440
632125204024
75025223621
oct1412271560
9465843477
10204043120
11a51a4686
1258400614
1333371698
141d155a48
1512da734a
hexc297370

204043120 has 80 divisors (see below), whose sum is σ = 498664512. Its totient is φ = 77496320.

The previous prime is 204043093. The next prime is 204043139. The reversal of 204043120 is 21340402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 204043094 and 204043103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318000 + ... + 318640.

Almost surely, 2204043120 is an apocalyptic number.

204043120 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 204043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249332256).

204043120 is an abundant number, since it is smaller than the sum of its proper divisors (294621392).

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

204043120 is a wasteful number, since it uses less digits than its factorization.

204043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204043120 is about 14284.3662792579. The cubic root of 204043120 is about 588.7180054527.

Adding to 204043120 its reverse (21340402), we get a palindrome (225383522).

The spelling of 204043120 in words is "two hundred four million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 173 184 230 346 368 460 641 692 865 920 1282 1384 1730 1840 2564 2768 3205 3460 3979 5128 6410 6920 7958 10256 12820 13840 14743 15916 19895 25640 29486 31832 39790 51280 58972 63664 73715 79580 110893 117944 147430 159160 221786 235888 294860 318320 443572 554465 589720 887144 1108930 1179440 1774288 2217860 2550539 4435720 5101078 8871440 10202156 12752695 20404312 25505390 40808624 51010780 102021560 204043120