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164246640 = 243519181199
BaseRepresentation
bin10011100101000…
…11010001110000
3102110001121000220
421302203101300
5314021343030
624144213040
74033034115
oct1162432160
9373047026
10164246640
1184792a28
124700a180
132804967c
1417b5690c
15e645a10
hex9ca3470

164246640 has 160 divisors (see below), whose sum is σ = 541632000. Its totient is φ = 41057280.

The previous prime is 164246617. The next prime is 164246651. The reversal of 164246640 is 46642461.

It is a congruent number.

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, 825261 + ... + 825459.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2164246640 is an apocalyptic number.

164246640 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 164246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816000).

164246640 is an abundant number, since it is smaller than the sum of its proper divisors (377385360).

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

164246640 is a wasteful number, since it uses less digits than its factorization.

164246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 164246640 is about 12815.8745312210. The cubic root of 164246640 is about 547.6446272493.

The spelling of 164246640 in words is "one hundred sixty-four million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 181 190 199 228 240 285 304 362 380 398 456 543 570 597 724 760 796 905 912 995 1086 1140 1194 1448 1520 1592 1810 1990 2172 2280 2388 2715 2896 2985 3184 3439 3620 3781 3980 4344 4560 4776 5430 5970 6878 7240 7562 7960 8688 9552 10317 10860 11343 11940 13756 14480 15124 15920 17195 18905 20634 21720 22686 23880 27512 30248 34390 36019 37810 41268 43440 45372 47760 51585 55024 56715 60496 68780 72038 75620 82536 90744 103170 108057 113430 137560 144076 151240 165072 180095 181488 206340 216114 226860 275120 288152 302480 360190 412680 432228 453720 540285 576304 684361 720380 825360 864456 907440 1080570 1368722 1440760 1728912 2053083 2161140 2737444 2881520 3421805 4106166 4322280 5474888 6843610 8212332 8644560 10265415 10949776 13687220 16424664 20530830 27374440 32849328 41061660 54748880 82123320 164246640