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164146860 = 2232523311279
BaseRepresentation
bin10011100100010…
…10111010101100
3102102212112011100
421302022322230
5314010144420
624142123100
74032140163
oct1162127254
9372775140
10164146860
1184724a69
1246b80490
1328013127
1417b2c3da
15e626190
hex9c8aeac

164146860 has 144 divisors (see below), whose sum is σ = 536739840. Its totient is φ = 40487040.

The previous prime is 164146847. The next prime is 164146897. The reversal of 164146860 is 68641461.

164146860 is a `hidden beast` number, since 1 + 641 + 4 + 6 + 8 + 6 + 0 = 666.

164146860 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 (36).

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, 127701 + ... + 128979.

It is an arithmetic number, because the mean of its divisors is an integer number (3727360).

Almost surely, 2164146860 is an apocalyptic number.

164146860 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 164146860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268369920).

164146860 is an abundant number, since it is smaller than the sum of its proper divisors (372592980).

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

164146860 is a wasteful number, since it uses less digits than its factorization.

164146860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164146860 is about 12811.9811114441. The cubic root of 164146860 is about 547.5337065631.

The spelling of 164146860 in words is "one hundred sixty-four million, one hundred forty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1279 1380 1395 1426 1860 2070 2139 2558 2790 2852 3565 3837 4140 4278 5116 5580 6395 6417 7130 7674 8556 10695 11511 12790 12834 14260 15348 19185 21390 23022 25580 25668 29417 32085 38370 39649 42780 46044 57555 58834 64170 76740 79298 88251 115110 117668 118947 128340 147085 158596 176502 198245 230220 237894 264753 294170 353004 356841 396490 441255 475788 529506 588340 594735 713682 792980 882510 911927 1059012 1189470 1323765 1427364 1765020 1784205 1823854 2378940 2647530 2735781 3568410 3647708 4559635 5295060 5471562 7136820 8207343 9119270 10943124 13678905 16414686 18238540 27357810 32829372 41036715 54715620 82073430 164146860