Search a number
-
+
195505590 = 23572179743
BaseRepresentation
bin10111010011100…
…10110110110110
3111121212201020210
423221302312312
5400022134330
631222210250
74562525100
oct1351626666
9447781223
10195505590
11a03a3275
1255583986
13316726a7
141bd72570
151226c8b0
hexba72db6

195505590 has 96 divisors (see below), whose sum is σ = 549607680. Its totient is φ = 44377536.

The previous prime is 195505523. The next prime is 195505591. The reversal of 195505590 is 95505591.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195505591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262759 + ... + 263501.

It is an arithmetic number, because the mean of its divisors is an integer number (5725080).

Almost surely, 2195505590 is an apocalyptic number.

195505590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 195505590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

195505590 is an abundant number, since it is smaller than the sum of its proper divisors (354102090).

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

195505590 is a wasteful number, since it uses less digits than its factorization.

195505590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 50625, while the sum is 39.

The square root of 195505590 is about 13982.3313506725. The cubic root of 195505590 is about 580.3897400312.

Subtracting from 195505590 its reverse (95505591), we obtain a palindrome (99999999).

The spelling of 195505590 in words is "one hundred ninety-five million, five hundred five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 179 210 245 294 358 490 537 735 743 895 1074 1253 1470 1486 1790 2229 2506 2685 3715 3759 4458 5201 5370 6265 7430 7518 8771 10402 11145 12530 15603 17542 18795 22290 26005 26313 31206 36407 37590 43855 52010 52626 72814 78015 87710 109221 131565 132997 156030 182035 218442 263130 265994 364070 398991 546105 664985 797982 930979 1092210 1329970 1861958 1994955 2792937 3989910 4654895 5585874 6516853 9309790 13033706 13964685 19550559 27929370 32584265 39101118 65168530 97752795 195505590