Search a number
-
+
204941070 = 23351973853
BaseRepresentation
bin11000011011100…
…10011100001110
3112021122002022000
430031302130032
5404431103240
632200333130
75035653555
oct1415623416
9467562260
10204941070
11a5758294
12587741a6
13335c7309
141d30ad9c
1512ed3430
hexc37270e

204941070 has 64 divisors (see below), whose sum is σ = 549426240. Its totient is φ = 54359424.

The previous prime is 204941047. The next prime is 204941117. The reversal of 204941070 is 70149402.

It is a happy number.

204941070 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 (27).

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, 51264 + ... + 55116.

It is an arithmetic number, because the mean of its divisors is an integer number (8584785).

Almost surely, 2204941070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204941070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274713120).

204941070 is an abundant number, since it is smaller than the sum of its proper divisors (344485170).

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

204941070 is a wasteful number, since it uses less digits than its factorization.

204941070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 204941070 is about 14315.7629904941. The cubic root of 204941070 is about 589.5803489078.

The spelling of 204941070 in words is "two hundred four million, nine hundred forty-one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 197 270 394 591 985 1182 1773 1970 2955 3546 3853 5319 5910 7706 8865 10638 11559 17730 19265 23118 26595 34677 38530 53190 57795 69354 104031 115590 173385 208062 346770 520155 759041 1040310 1518082 2277123 3795205 4554246 6831369 7590410 11385615 13662738 20494107 22771230 34156845 40988214 68313690 102470535 204941070