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168208080 = 24353731879
BaseRepresentation
bin10100000011010…
…10011011010000
3102201111212002220
422001222123100
5321030124310
624405141040
74111513365
oct1201523320
9381455086
10168208080
1186a49247
12483ba780
1328b05811
14184a846c
15eb79670
hexa06a6d0

168208080 has 80 divisors (see below), whose sum is σ = 523121280. Its totient is φ = 44711424.

The previous prime is 168208069. The next prime is 168208087. The reversal of 168208080 is 80802861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168208087) by changing a digit.

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, 88581 + ... + 90459.

It is an arithmetic number, because the mean of its divisors is an integer number (6539016).

Almost surely, 2168208080 is an apocalyptic number.

168208080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261560640).

168208080 is an abundant number, since it is smaller than the sum of its proper divisors (354913200).

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

168208080 is a wasteful number, since it uses less digits than its factorization.

168208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 168208080 is about 12969.5057731588. The cubic root of 168208080 is about 552.0125495992.

The spelling of 168208080 in words is "one hundred sixty-eight million, two hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 1879 2238 2984 3730 3758 4476 5595 5637 5968 7460 7516 8952 9395 11190 11274 14920 15032 17904 18790 22380 22548 28185 29840 30064 37580 44760 45096 56370 75160 89520 90192 112740 150320 225480 450960 700867 1401734 2102601 2803468 3504335 4205202 5606936 7008670 8410404 10513005 11213872 14017340 16820808 21026010 28034680 33641616 42052020 56069360 84104040 168208080