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168093408 = 2537318069
BaseRepresentation
bin10100000010011…
…10011011100000
3102201022000210210
422001032123200
5321012442113
624402454120
74110525150
oct1201163340
9381260723
10168093408
118698007a
1248364340
1328a95572
1418478760
15eb556c3
hexa04e6e0

168093408 has 96 divisors (see below), whose sum is σ = 520611840. Its totient is φ = 46471680.

The previous prime is 168093347. The next prime is 168093413. The reversal of 168093408 is 804390861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16798 + ... + 24866.

It is an arithmetic number, because the mean of its divisors is an integer number (5423040).

Almost surely, 2168093408 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 168093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260305920).

168093408 is an abundant number, since it is smaller than the sum of its proper divisors (352518432).

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

168093408 is a wasteful number, since it uses less digits than its factorization.

168093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 168093408 is about 12965.0841879257. The cubic root of 168093408 is about 551.8870804519.

The spelling of 168093408 in words is "one hundred sixty-eight million, ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 8069 10416 16138 20832 24207 32276 48414 56483 64552 96828 112966 129104 169449 193656 225932 250139 258208 338898 387312 451864 500278 677796 750417 774624 903728 1000556 1355592 1500834 1750973 1807456 2001112 2711184 3001668 3501946 4002224 5252919 5422368 6003336 7003892 8004448 10505838 12006672 14007784 21011676 24013344 28015568 42023352 56031136 84046704 168093408