Search a number
-
+
166327040 = 2851111813
BaseRepresentation
bin10011110100111…
…11001100000000
3102120222021210202
421322133030000
5320034431130
624300544332
74056520325
oct1172371400
9376867722
10166327040
1185983a70
12478520a8
13285c7589
1418138b4c
15e907145
hex9e9f300

166327040 has 72 divisors (see below), whose sum is σ = 434660688. Its totient is φ = 60477440.

The previous prime is 166327039. The next prime is 166327043. The reversal of 166327040 is 40723661.

It is a junction number, because it is equal to n+sod(n) for n = 166326994 and 166327012.

It is not an unprimeable number, because it can be changed into a prime (166327043) 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 7 ways as a sum of consecutive naturals, for example, 8174 + ... + 19986.

It is an arithmetic number, because the mean of its divisors is an integer number (6036954).

Almost surely, 2166327040 is an apocalyptic number.

166327040 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 166327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217330344).

166327040 is an abundant number, since it is smaller than the sum of its proper divisors (268333648).

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

166327040 is a wasteful number, since it uses less digits than its factorization.

166327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11845 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 166327040 is about 12896.7840952696. The cubic root of 166327040 is about 549.9471464362.

The spelling of 166327040 in words is "one hundred sixty-six million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 11813 14080 23626 47252 59065 94504 118130 129943 189008 236260 259886 378016 472520 519772 649715 756032 945040 1039544 1299430 1512064 1890080 2079088 2598860 3024128 3780160 4158176 5197720 7560320 8316352 10395440 15120640 16632704 20790880 33265408 41581760 83163520 166327040