Search a number
-
+
195371430 = 235231032749
BaseRepresentation
bin10111010010100…
…10000110100110
3111121121220012220
423221102012212
5400003341210
631215253210
74561426002
oct1351220646
9447556186
10195371430
11a03114a1
125551a206
13316265c7
141bd39702
1512242c70
hexba521a6

195371430 has 64 divisors (see below), whose sum is σ = 494208000. Its totient is φ = 49332096.

The previous prime is 195371419. The next prime is 195371431. The reversal of 195371430 is 34173591.

It is a junction number, because it is equal to n+sod(n) for n = 195371391 and 195371400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195371431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69696 + ... + 72444.

It is an arithmetic number, because the mean of its divisors is an integer number (7722000).

Almost surely, 2195371430 is an apocalyptic number.

195371430 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 195371430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247104000).

195371430 is an abundant number, since it is smaller than the sum of its proper divisors (298836570).

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

195371430 is a wasteful number, since it uses less digits than its factorization.

195371430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 195371430 is about 13977.5330441391. The cubic root of 195371430 is about 580.2569511509.

The spelling of 195371430 in words is "one hundred ninety-five million, three hundred seventy-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 103 115 138 206 230 309 345 515 618 690 1030 1545 2369 2749 3090 4738 5498 7107 8247 11845 13745 14214 16494 23690 27490 35535 41235 63227 71070 82470 126454 189681 283147 316135 379362 566294 632270 849441 948405 1415735 1698882 1896810 2831470 4247205 6512381 8494410 13024762 19537143 32561905 39074286 65123810 97685715 195371430