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164071110 = 23572239467
BaseRepresentation
bin10011100011110…
…00011011000110
3102102201200020210
421301320123012
5314000233420
624140340250
74031403300
oct1161703306
9372650223
10164071110
1184683065
1246b44686
1327cb77c8
1417b0c970
15e60d9e0
hex9c786c6

164071110 has 96 divisors (see below), whose sum is σ = 460961280. Its totient is φ = 37265088.

The previous prime is 164071109. The next prime is 164071129. The reversal of 164071110 is 11170461.

164071110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351097 + ... + 351563.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2164071110 is an apocalyptic number.

164071110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164071110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230480640).

164071110 is an abundant number, since it is smaller than the sum of its proper divisors (296890170).

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

164071110 is a wasteful number, since it uses less digits than its factorization.

164071110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 164071110 is about 12809.0245530251. The cubic root of 164071110 is about 547.4494688670.

The spelling of 164071110 in words is "one hundred sixty-four million, seventy-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 239 245 294 467 478 490 717 735 934 1195 1401 1434 1470 1673 2335 2390 2802 3269 3346 3585 4670 5019 6538 7005 7170 8365 9807 10038 11711 14010 16345 16730 19614 22883 23422 25095 32690 35133 45766 49035 50190 58555 68649 70266 98070 111613 114415 117110 137298 175665 223226 228830 334839 343245 351330 558065 669678 686490 781291 1116130 1562582 1674195 2343873 3348390 3906455 4687746 5469037 7812910 10938074 11719365 16407111 23438730 27345185 32814222 54690370 82035555 164071110