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168195924 = 223213536781
BaseRepresentation
bin10100000011001…
…11011101010100
3102201111020102200
422001213131110
5321024232144
624405004500
74111433061
oct1201473524
9381436380
10168195924
1186a400a6
12483b3730
1328b00120
14184a3c68
15eb75c69
hexa067754

168195924 has 72 divisors (see below), whose sum is σ = 466574472. Its totient is φ = 50768640.

The previous prime is 168195917. The next prime is 168195949. The reversal of 168195924 is 429591861.

It can be written as a sum of positive squares in 4 ways, for example, as 12744900 + 155451024 = 3570^2 + 12468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 168195924.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21414 + ... + 28194.

It is an arithmetic number, because the mean of its divisors is an integer number (6480201).

Almost surely, 2168195924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168195924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233287236).

168195924 is an abundant number, since it is smaller than the sum of its proper divisors (298378548).

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

168195924 is a wasteful number, since it uses less digits than its factorization.

168195924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6852 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 168195924 is about 12969.0371269420. The cubic root of 168195924 is about 551.9992517318. Note that the first 3 decimals are identical.

The spelling of 168195924 in words is "one hundred sixty-eight million, one hundred ninety-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 6781 8268 12402 13562 20343 24804 27124 40686 61029 81372 88153 122058 176306 244116 264459 352612 359393 528918 718786 793377 1057836 1078179 1437572 1586754 2156358 3173508 3234537 4312716 4672109 6469074 9344218 12938148 14016327 18688436 28032654 42048981 56065308 84097962 168195924