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164285660 = 225711107997
BaseRepresentation
bin10011100101011…
…00110011011100
3102110010120120002
421302230303130
5314024120120
624145113432
74033255640
oct1162546334
9373116502
10164285660
118480a280
1247028878
1328061366
1417b66c20
15e652375
hex9caccdc

164285660 has 96 divisors (see below), whose sum is σ = 434585088. Its totient is φ = 50676480.

The previous prime is 164285657. The next prime is 164285669. The reversal of 164285660 is 66582461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164285669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164282 + ... + 165278.

It is an arithmetic number, because the mean of its divisors is an integer number (4526928).

Almost surely, 2164285660 is an apocalyptic number.

164285660 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 164285660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217292544).

164285660 is an abundant number, since it is smaller than the sum of its proper divisors (270299428).

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

164285660 is a wasteful number, since it uses less digits than its factorization.

164285660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 164285660 is about 12817.3967715757. The cubic root of 164285660 is about 547.6879917110.

The spelling of 164285660 in words is "one hundred sixty-four million, two hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 535 749 770 997 1070 1177 1498 1540 1994 2140 2354 2996 3745 3988 4708 4985 5885 6979 7490 8239 9970 10967 11770 13958 14980 16478 19940 21934 23540 27916 32956 34895 41195 43868 54835 69790 76769 82390 106679 109670 139580 153538 164780 213358 219340 307076 383845 426716 533395 746753 767690 1066790 1173469 1493506 1535380 2133580 2346938 2987012 3733765 4693876 5867345 7467530 8214283 11734690 14935060 16428566 23469380 32857132 41071415 82142830 164285660