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164191160 = 23572194409
BaseRepresentation
bin10011100100101…
…01101110111000
3102102221202221002
421302111232320
5314013104120
624143104132
74032413300
oct1162255670
9372852832
10164191160
1184755281
1246ba2048
132802a343
1417b40600
15e634375
hex9c95bb8

164191160 has 96 divisors (see below), whose sum is σ = 452466000. Its totient is φ = 53319168.

The previous prime is 164191133. The next prime is 164191171. The reversal of 164191160 is 61191461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35036 + ... + 39444.

Almost surely, 2164191160 is an apocalyptic number.

164191160 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 164191160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226233000).

164191160 is an abundant number, since it is smaller than the sum of its proper divisors (288274840).

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

164191160 is a wasteful number, since it uses less digits than its factorization.

164191160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 164191160 is about 12813.7098453180. The cubic root of 164191160 is about 547.5829583154.

The spelling of 164191160 in words is "one hundred sixty-four million, one hundred ninety-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4409 4655 5320 7448 8818 9310 17636 18620 22045 30863 35272 37240 44090 61726 83771 88180 123452 154315 167542 176360 216041 246904 308630 335084 418855 432082 586397 617260 670168 837710 864164 1080205 1172794 1234520 1675420 1728328 2160410 2345588 2931985 3350840 4104779 4320820 4691176 5863970 8209558 8641640 11727940 16419116 20523895 23455880 32838232 41047790 82095580 164191160