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168192414 = 232134147373
BaseRepresentation
bin10100000011001…
…10100110011110
3102201111001121200
422001212212132
5321024124124
624404540330
74111416615
oct1201464636
9381431550
10168192414
1186a384a5
12483b16a6
1328acb650
14184a287c
15eb74bc9
hexa06699e

168192414 has 96 divisors (see below), whose sum is σ = 411675264. Its totient is φ = 49282560.

The previous prime is 168192413. The next prime is 168192439. The reversal of 168192414 is 414291861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168192413) 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 47 ways as a sum of consecutive naturals, for example, 450732 + ... + 451104.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2168192414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168192414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837632).

168192414 is an abundant number, since it is smaller than the sum of its proper divisors (243482850).

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

168192414 is a wasteful number, since it uses less digits than its factorization.

168192414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 168192414 is about 12968.9018039308. The cubic root of 168192414 is about 551.9954119026.

The spelling of 168192414 in words is "one hundred sixty-eight million, one hundred ninety-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 47 78 82 94 117 123 141 234 246 282 369 373 423 533 611 738 746 846 1066 1119 1222 1599 1833 1927 2238 3198 3357 3666 3854 4797 4849 5499 5781 6714 9594 9698 10998 11562 14547 15293 17343 17531 25051 29094 30586 34686 35062 43641 45879 50102 52593 75153 87282 91758 105186 137637 150306 157779 198809 225459 227903 275274 315558 397618 450918 455806 596427 683709 718771 1192854 1367418 1437542 1789281 2051127 2156313 3578562 4102254 4312626 6468939 9344023 12937878 18688046 28032069 56064138 84096207 168192414