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166066120 = 23511596397
BaseRepresentation
bin10011110010111…
…11011111001000
3102120111000220001
421321133133020
5320003103440
624251212344
74054352533
oct1171373710
9376430801
10166066120
1185815a30
12477470b4
132853589c
14180aba1a
15e8a4b9a
hex9e5f7c8

166066120 has 64 divisors (see below), whose sum is σ = 414590400. Its totient is φ = 59354880.

The previous prime is 166066063. The next prime is 166066123. The reversal of 166066120 is 21660661.

It is not an unprimeable number, because it can be changed into a prime (166066123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22762 + ... + 29158.

It is an arithmetic number, because the mean of its divisors is an integer number (6477975).

Almost surely, 2166066120 is an apocalyptic number.

166066120 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 166066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207295200).

166066120 is an abundant number, since it is smaller than the sum of its proper divisors (248524280).

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

166066120 is a wasteful number, since it uses less digits than its factorization.

166066120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 166066120 is about 12886.6644249006. The cubic root of 166066120 is about 549.6594255145.

The spelling of 166066120 in words is "one hundred sixty-six million, sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6397 6490 12794 12980 25588 25960 31985 51176 63970 70367 127940 140734 255880 281468 351835 377423 562936 703670 754846 1407340 1509692 1887115 2814680 3019384 3774230 4151653 7548460 8303306 15096920 16606612 20758265 33213224 41516530 83033060 166066120