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204020320 = 2557253491
BaseRepresentation
bin11000010100100…
…01101001100000
3112012220022021011
430022101221200
5404212122240
632124510304
75025100300
oct1412215140
9465808234
10204020320
11a5189539
12583ab394
13333641aa
141d14b600
1512da06ea
hexc291a60

204020320 has 144 divisors (see below), whose sum is σ = 572434128. Its totient is φ = 68490240.

The previous prime is 204020291. The next prime is 204020329. The reversal of 204020320 is 23020402.

It is a self number, because there is not a number n which added to its sum of digits gives 204020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204020329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415275 + ... + 415765.

It is an arithmetic number, because the mean of its divisors is an integer number (3975237).

Almost surely, 2204020320 is an apocalyptic number.

204020320 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 204020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286217064).

204020320 is an abundant number, since it is smaller than the sum of its proper divisors (368413808).

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

204020320 is a wasteful number, since it uses less digits than its factorization.

204020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 204020320 is about 14283.5681816555. The cubic root of 204020320 is about 588.6960766393.

Adding to 204020320 its reverse (23020402), we get a palindrome (227040722).

It can be divided in two parts, 204020 and 320, that multiplied together give a square (65286400 = 80802).

The spelling of 204020320 in words is "two hundred four million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 140 160 196 212 224 245 265 280 371 392 424 490 491 530 560 742 784 848 980 982 1060 1120 1484 1568 1696 1855 1960 1964 2120 2455 2597 2968 3437 3710 3920 3928 4240 4910 5194 5936 6874 7420 7840 7856 8480 9820 10388 11872 12985 13748 14840 15712 17185 19640 20776 24059 25970 26023 27496 29680 34370 39280 41552 48118 51940 52046 54992 59360 68740 78560 83104 96236 103880 104092 109984 120295 130115 137480 182161 192472 207760 208184 240590 260230 274960 364322 384944 415520 416368 481180 520460 549920 728644 769888 832736 910805 962360 1040920 1275127 1457288 1821610 1924720 2081840 2550254 2914576 3643220 3849440 4163680 5100508 5829152 6375635 7286440 10201016 12751270 14572880 20402032 25502540 29145760 40804064 51005080 102010160 204020320