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204030728 = 231137223281
BaseRepresentation
bin11000010100101…
…00001100001000
3112012220211112122
430022110030020
5404212440403
632125030412
75025142526
oct1412241410
9465824478
10204030728
11a5196340
12583b5408
1333368b55
141d151316
1512da3838
hexc294308

204030728 has 64 divisors (see below), whose sum is σ = 432069120. Its totient is φ = 89510400.

The previous prime is 204030709. The next prime is 204030731. The reversal of 204030728 is 827030402.

It is a junction number, because it is equal to n+sod(n) for n = 204030697 and 204030706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725948 + ... + 726228.

It is an arithmetic number, because the mean of its divisors is an integer number (6751080).

Almost surely, 2204030728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204030728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216034560).

204030728 is an abundant number, since it is smaller than the sum of its proper divisors (228038392).

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

204030728 is a wasteful number, since it uses less digits than its factorization.

204030728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 204030728 is about 14283.9325117420. The cubic root of 204030728 is about 588.7060871529.

It can be divided in two parts, 2040 and 30728, that added together give a 15-th power (32768 = 215).

The spelling of 204030728 in words is "two hundred four million, thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 223 281 296 407 446 562 814 892 1124 1628 1784 2248 2453 3091 3256 4906 6182 8251 9812 10397 12364 16502 19624 20794 24728 33004 41588 62663 66008 83176 90761 114367 125326 181522 228734 250652 363044 457468 501304 689293 726088 914936 1378586 2318531 2757172 4637062 5514344 9274124 18548248 25503841 51007682 102015364 204030728