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164054660 = 225711307347
BaseRepresentation
bin10011100011101…
…00011010000100
3102102200211200112
421301310122010
5313444222120
624140132152
74031304320
oct1161643204
9372624615
10164054660
1184671770
1246b37058
1327cb0183
1417b06980
15e608bc5
hex9c74684

164054660 has 96 divisors (see below), whose sum is σ = 432165888. Its totient is φ = 50820480.

The previous prime is 164054629. The next prime is 164054713. The reversal of 164054660 is 66450461.

164054660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472607 + ... + 472953.

It is an arithmetic number, because the mean of its divisors is an integer number (4501728).

Almost surely, 2164054660 is an apocalyptic number.

164054660 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 164054660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216082944).

164054660 is an abundant number, since it is smaller than the sum of its proper divisors (268111228).

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

164054660 is a wasteful number, since it uses less digits than its factorization.

164054660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 164054660 is about 12808.3824115303. The cubic root of 164054660 is about 547.4311722379.

The spelling of 164054660 in words is "one hundred sixty-four million, fifty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 307 308 347 385 614 694 770 1228 1388 1535 1540 1735 2149 2429 3070 3377 3470 3817 4298 4858 6140 6754 6940 7634 8596 9716 10745 12145 13508 15268 16885 19085 21490 23639 24290 26719 33770 38170 42980 47278 48580 53438 67540 76340 94556 106529 106876 118195 133595 213058 236390 267190 426116 472780 532645 534380 745703 1065290 1171819 1491406 2130580 2343638 2982812 3728515 4687276 5859095 7457030 8202733 11718190 14914060 16405466 23436380 32810932 41013665 82027330 164054660