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164260140 = 223511248879
BaseRepresentation
bin10011100101001…
…10100100101100
3102110002021112220
421302212210230
5314022311030
624144355340
74033121352
oct1162464454
9373067486
10164260140
11847a2090
1247015b50
1328052865
1417b5b7d2
15e649a10
hex9ca692c

164260140 has 48 divisors (see below), whose sum is σ = 501742080. Its totient is φ = 39820480.

The previous prime is 164260127. The next prime is 164260157. The reversal of 164260140 is 41062461.

164260140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164260140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123780 + ... + 125099.

It is an arithmetic number, because the mean of its divisors is an integer number (10452960).

Almost surely, 2164260140 is an apocalyptic number.

164260140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164260140 is an abundant number, since it is smaller than the sum of its proper divisors (337481940).

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

164260140 is a wasteful number, since it uses less digits than its factorization.

164260140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248902 (or 248900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164260140 is about 12816.4012109484. The cubic root of 164260140 is about 547.6596311076.

The spelling of 164260140 in words is "one hundred sixty-four million, two hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 248879 497758 746637 995516 1244395 1493274 2488790 2737669 2986548 3733185 4977580 5475338 7466370 8213007 10950676 13688345 14932740 16426014 27376690 32852028 41065035 54753380 82130070 164260140