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204020340320 = 2557127976421
BaseRepresentation
bin1011111000000010001…
…1110101011001100000
3201111121112021010121202
42332000203311121200
511320313201342240
6233420423540332
720511546164546
oct2760043653140
9644545233552
10204020340320
1179585188405
1233659bba6a8
1316315212b84
149c3600bd96
1554913b6315
hex2f808f5660

204020340320 has 96 divisors (see below), whose sum is σ = 489037663296. Its totient is φ = 80417433600.

The previous prime is 204020340289. The next prime is 204020340341. The reversal of 204020340320 is 23043020402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204020340292 and 204020340301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31770710 + ... + 31777130.

It is an arithmetic number, because the mean of its divisors is an integer number (5094142326).

Almost surely, 2204020340320 is an apocalyptic number.

204020340320 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 204020340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244518831648).

204020340320 is an abundant number, since it is smaller than the sum of its proper divisors (285017322976).

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

204020340320 is a wasteful number, since it uses less digits than its factorization.

204020340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 204020340320 its reverse (23043020402), we get a palindrome (227063360722).

The spelling of 204020340320 in words is "two hundred four billion, twenty million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2797 2840 5594 5680 6421 11188 11360 12842 13985 22376 25684 27970 32105 44752 51368 55940 64210 89504 102736 111880 128420 198587 205472 223760 256840 397174 447520 455891 513680 794348 911782 992935 1027360 1588696 1823564 1985870 2279455 3177392 3647128 3971740 4558910 6354784 7294256 7943480 9117820 14588512 15886960 17959537 18235640 31773920 35919074 36471280 71838148 72942560 89797685 143676296 179595370 287352592 359190740 574705184 718381480 1275127127 1436762960 2550254254 2873525920 5100508508 6375635635 10201017016 12751271270 20402034032 25502542540 40804068064 51005085080 102010170160 204020340320