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168272880 = 24355313229
BaseRepresentation
bin10100000011110…
…10001111110000
3102201122010222220
422001322033300
5321034213010
624410401040
74112203326
oct1201721760
9381563886
10168272880
1186a929a6
1248430180
1328b29169
14184c3d16
15eb8d970
hexa07a3f0

168272880 has 80 divisors (see below), whose sum is σ = 531528480. Its totient is φ = 44022784.

The previous prime is 168272879. The next prime is 168272917. The reversal of 168272880 is 88272861.

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

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 15 ways as a sum of consecutive naturals, for example, 6106 + ... + 19334.

It is an arithmetic number, because the mean of its divisors is an integer number (6644106).

Almost surely, 2168272880 is an apocalyptic number.

168272880 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 168272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265764240).

168272880 is an abundant number, since it is smaller than the sum of its proper divisors (363255600).

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

168272880 is a wasteful number, since it uses less digits than its factorization.

168272880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 168272880 is about 12972.0037002770. The cubic root of 168272880 is about 552.0834257442.

The spelling of 168272880 in words is "one hundred sixty-eight million, two hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 13229 26458 39687 52916 66145 79374 105832 132290 158748 198435 211664 264580 317496 396870 529160 634992 701137 793740 1058320 1402274 1587480 2103411 2804548 3174960 3505685 4206822 5609096 7011370 8413644 10517055 11218192 14022740 16827288 21034110 28045480 33654576 42068220 56090960 84136440 168272880