Search a number
-
+
803205150 = 2352111273833
BaseRepresentation
bin101111110111111…
…111000000011110
32001222101001022220
4233313333000132
53121110031100
6211411250210
725622062656
oct5767770036
92058331286
10803205150
1138242aa10
121a4ba9966
13ca535a27
1478961366
154a7abaa0
hex2fdff01e

803205150 has 96 divisors (see below), whose sum is σ = 2190716928. Its totient is φ = 193132800.

The previous prime is 803205131. The next prime is 803205163. The reversal of 803205150 is 51502308.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 803205150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207634 + ... + 211466.

It is an arithmetic number, because the mean of its divisors is an integer number (22819968).

Almost surely, 2803205150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803205150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095358464).

803205150 is an abundant number, since it is smaller than the sum of its proper divisors (1387511778).

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

803205150 is a wasteful number, since it uses less digits than its factorization.

803205150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 803205150 is about 28340.8741925862. The cubic root of 803205150 is about 929.5558637764. Note that the first 3 decimals are identical.

Adding to 803205150 its reverse (51502308), we get a palindrome (854707458).

The spelling of 803205150 in words is "eight hundred three million, two hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 127 150 165 254 275 330 381 550 635 762 825 1270 1397 1650 1905 2794 3175 3810 3833 4191 6350 6985 7666 8382 9525 11499 13970 19050 19165 20955 22998 34925 38330 41910 42163 57495 69850 84326 95825 104775 114990 126489 191650 209550 210815 252978 287475 421630 486791 574950 632445 973582 1054075 1264890 1460373 2108150 2433955 2920746 3162225 4867910 5354701 6324450 7301865 10709402 12169775 14603730 16064103 24339550 26773505 32128206 36509325 53547010 73018650 80320515 133867525 160641030 267735050 401602575 803205150