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168704406 = 232135361223
BaseRepresentation
bin10100000111000…
…11100110010110
3102202110001221100
422003203212112
5321142020111
624423530530
74115651403
oct1203434626
9382401840
10168704406
1187258132
12485b9a46
1328c4a6c0
14185972aa
15ec26756
hexa0e3996

168704406 has 96 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 49870080.

The previous prime is 168704399. The next prime is 168704429. The reversal of 168704406 is 604407861.

It is a super-2 number, since 2×1687044062 = 56922353207625672, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 756411 + ... + 756633.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2168704406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168704406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

168704406 is an abundant number, since it is smaller than the sum of its proper divisors (240769386).

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

168704406 is a wasteful number, since it uses less digits than its factorization.

168704406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168704406 is about 12988.6260243338. The cubic root of 168704406 is about 552.5549515036.

The spelling of 168704406 in words is "one hundred sixty-eight million, seven hundred four thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 53 61 78 106 117 122 159 183 223 234 318 366 446 477 549 669 689 793 954 1098 1338 1378 1586 2007 2067 2379 2899 3233 4014 4134 4758 5798 6201 6466 7137 8697 9699 11819 12402 13603 14274 17394 19398 23638 26091 27206 29097 35457 40809 42029 52182 58194 70914 81618 84058 106371 122427 126087 153647 176839 212742 244854 252174 307294 353678 378261 460941 530517 720959 756522 921882 1061034 1382823 1441918 1591551 2162877 2765646 3183102 4325754 6488631 9372467 12977262 18744934 28117401 56234802 84352203 168704406