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168214080 = 26351371279
BaseRepresentation
bin10100000011010…
…11111001000000
3102201112011100010
422001223321000
5321030322310
624405224520
74111540026
oct1201537100
9381464303
10168214080
1186a52801
1248402140
1328b08478
14184aa716
15eb7b320
hexa06be40

168214080 has 112 divisors (see below), whose sum is σ = 538398720. Its totient is φ = 44494848.

The previous prime is 168214073. The next prime is 168214093. The reversal of 168214080 is 80412861.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 130881 + ... + 132159.

Almost surely, 2168214080 is an apocalyptic number.

168214080 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 168214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269199360).

168214080 is an abundant number, since it is smaller than the sum of its proper divisors (370184640).

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

168214080 is a wasteful number, since it uses less digits than its factorization.

168214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 168214080 is about 12969.7370829173. The cubic root of 168214080 is about 552.0191129698.

The spelling of 168214080 in words is "one hundred sixty-eight million, two hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 137 160 192 240 274 320 411 480 548 685 822 960 1096 1279 1370 1644 2055 2192 2558 2740 3288 3837 4110 4384 5116 5480 6395 6576 7674 8220 8768 10232 10960 12790 13152 15348 16440 19185 20464 21920 25580 26304 30696 32880 38370 40928 43840 51160 61392 65760 76740 81856 102320 122784 131520 153480 175223 204640 245568 306960 350446 409280 525669 613920 700892 876115 1051338 1227840 1401784 1752230 2102676 2628345 2803568 3504460 4205352 5256690 5607136 7008920 8410704 10513380 11214272 14017840 16821408 21026760 28035680 33642816 42053520 56071360 84107040 168214080