Search a number
-
+
204730680 = 233571122157
BaseRepresentation
bin11000011001111…
…11000100111000
3112021020101200210
430030333010320
5404402340210
632152031120
75034116310
oct1414770470
9467211623
10204730680
11a5624210
12586924a0
133355261b
141d294440
1512e90e20
hexc33f138

204730680 has 128 divisors (see below), whose sum is σ = 765780480. Its totient is φ = 42539520.

The previous prime is 204730663. The next prime is 204730739. The reversal of 204730680 is 86037402.

204730680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839 + ... + 20318.

It is an arithmetic number, because the mean of its divisors is an integer number (5982660).

Almost surely, 2204730680 is an apocalyptic number.

204730680 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 204730680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382890240).

204730680 is an abundant number, since it is smaller than the sum of its proper divisors (561049800).

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

204730680 is a wasteful number, since it uses less digits than its factorization.

204730680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22189 (or 22185 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 204730680 is about 14308.4129098933. The cubic root of 204730680 is about 589.3785278340.

The spelling of 204730680 in words is "two hundred four million, seven hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 22157 44314 66471 88628 110785 132942 155099 177256 221570 243727 265884 310198 332355 443140 465297 487454 531768 620396 664710 731181 775495 886280 930594 974908 1218635 1240792 1329420 1462362 1550990 1706089 1861188 1949816 2326485 2437270 2658840 2924724 3101980 3412178 3655905 3722376 4652970 4874540 5118267 5849448 6203960 6824356 7311810 8530445 9305940 9749080 10236534 13648712 14623620 17060890 18611880 20473068 25591335 29247240 34121780 40946136 51182670 68243560 102365340 204730680