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166139172 = 223247149659
BaseRepresentation
bin10011110011100…
…01010100100100
3102120121202002200
421321301110210
5320012423142
624252534500
74055105523
oct1171612444
9376552080
10166139172
1185865901
1247781430
132855cc04
14180ca4ba
15e8bb64c
hex9e71524

166139172 has 72 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 53755968.

The previous prime is 166139123. The next prime is 166139201. The reversal of 166139172 is 271931661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 251779 + ... + 252437.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2166139172 is an apocalyptic number.

166139172 is a gapful number since it is divisible by the number (12) 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 166139172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

166139172 is an abundant number, since it is smaller than the sum of its proper divisors (266292828).

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

166139172 is a wasteful number, since it uses less digits than its factorization.

166139172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 166139172 is about 12889.4985162341. The cubic root of 166139172 is about 549.7400115565.

The spelling of 166139172 in words is "one hundred sixty-six million, one hundred thirty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 149 188 282 298 423 447 564 596 659 846 894 1318 1341 1692 1788 1977 2636 2682 3954 5364 5931 7003 7908 11862 14006 21009 23724 28012 30973 42018 61946 63027 84036 92919 98191 123892 126054 185838 196382 252108 278757 294573 371676 392764 557514 589146 883719 1115028 1178292 1767438 3534876 4614977 9229954 13844931 18459908 27689862 41534793 55379724 83069586 166139172