Search a number
-
+
204691050 = 2355217991
BaseRepresentation
bin11000011001101…
…01011001101010
3112021011101100000
430030311121222
5404400103200
632151123430
75033562624
oct1414653152
9467141300
10204691050
11a55a7463
1258673576
133353a585
141d283c14
1512e84300
hexc33566a

204691050 has 144 divisors (see below), whose sum is σ = 604461312. Its totient is φ = 51321600.

The previous prime is 204691027. The next prime is 204691057. The reversal of 204691050 is 50196402.

204691050 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 not an unprimeable number, because it can be changed into a prime (204691057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206055 + ... + 207045.

It is an arithmetic number, because the mean of its divisors is an integer number (4197648).

Almost surely, 2204691050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204691050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230656).

204691050 is an abundant number, since it is smaller than the sum of its proper divisors (399770262).

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

204691050 is a wasteful number, since it uses less digits than its factorization.

204691050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 204691050 is about 14307.0279932626. The cubic root of 204691050 is about 589.3404964419.

It can be divided in two parts, 2046 and 91050, that added together give a triangular number (93096 = T431).

The spelling of 204691050 in words is "two hundred four million, six hundred ninety-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 243 255 270 306 405 425 450 459 486 510 675 765 810 850 918 991 1215 1275 1350 1377 1530 1982 2025 2295 2430 2550 2754 2973 3825 4050 4131 4590 4955 5946 6075 6885 7650 8262 8919 9910 11475 12150 13770 14865 16847 17838 20655 22950 24775 26757 29730 33694 34425 41310 44595 49550 50541 53514 68850 74325 80271 84235 89190 101082 103275 133785 148650 151623 160542 168470 206550 222975 240813 252705 267570 303246 401355 421175 445950 454869 481626 505410 668925 758115 802710 842350 909738 1204065 1263525 1337850 1364607 1516230 2006775 2274345 2408130 2527050 2729214 3790575 4013550 4093821 4548690 6020325 6823035 7581150 8187642 11371725 12040650 13646070 20469105 22743450 34115175 40938210 68230350 102345525 204691050