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204994720 = 25571031777
BaseRepresentation
bin11000011011111…
…11100010100000
3112021201210220001
430031333202200
5404434312340
632201425344
75036266150
oct1415774240
9467653801
10204994720
11a5794627
125879b254
1333615868
141d322760
1512ee429a
hexc37f8a0

204994720 has 96 divisors (see below), whose sum is σ = 559173888. Its totient is φ = 69562368.

The previous prime is 204994703. The next prime is 204994747. The reversal of 204994720 is 27499402.

204994720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204994720.

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, 114472 + ... + 116248.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2204994720 is an apocalyptic number.

204994720 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 204994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

204994720 is an abundant number, since it is smaller than the sum of its proper divisors (354179168).

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

204994720 is a wasteful number, since it uses less digits than its factorization.

204994720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 204994720 is about 14317.6366764910. The cubic root of 204994720 is about 589.6317917055.

It can be divided in two parts, 2049 and 94720, that added together give a palindrome (96769).

The spelling of 204994720 in words is "two hundred four million, nine hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 103 112 140 160 206 224 280 412 515 560 721 824 1030 1120 1442 1648 1777 2060 2884 3296 3554 3605 4120 5768 7108 7210 8240 8885 11536 12439 14216 14420 16480 17770 23072 24878 28432 28840 35540 49756 56864 57680 62195 71080 99512 115360 124390 142160 183031 199024 248780 284320 366062 398048 497560 732124 915155 995120 1281217 1464248 1830310 1990240 2562434 2928496 3660620 5124868 5856992 6406085 7321240 10249736 12812170 14642480 20499472 25624340 29284960 40998944 51248680 102497360 204994720