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164241660 = 223511248851
BaseRepresentation
bin10011100101000…
…10000011111100
3102110001100012110
421302202003330
5314021213120
624144134020
74033013442
oct1162420374
9373040173
10164241660
118478a210
1247007310
132804731b
1417b54b92
15e6442e0
hex9ca20fc

164241660 has 48 divisors (see below), whose sum is σ = 501685632. Its totient is φ = 39816000.

The previous prime is 164241653. The next prime is 164241667. The reversal of 164241660 is 66142461.

It is an interprime number because it is at equal distance from previous prime (164241653) and next prime (164241667).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164241667) by changing a digit.

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, 123766 + ... + 125085.

It is an arithmetic number, because the mean of its divisors is an integer number (10451784).

Almost surely, 2164241660 is an apocalyptic number.

164241660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164241660 is an abundant number, since it is smaller than the sum of its proper divisors (337443972).

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

164241660 is a wasteful number, since it uses less digits than its factorization.

164241660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248874 (or 248872 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164241660 is about 12815.6802394567. The cubic root of 164241660 is about 547.6390922852.

The spelling of 164241660 in words is "one hundred sixty-four million, two hundred forty-one thousand, six hundred sixty".

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 248851 497702 746553 995404 1244255 1493106 2488510 2737361 2986212 3732765 4977020 5474722 7465530 8212083 10949444 13686805 14931060 16424166 27373610 32848332 41060415 54747220 82120830 164241660