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166374 = 2341379
BaseRepresentation
bin101000100111100110
322110020000
4220213212
520310444
63322130
71262025
oct504746
9273200
10166374
11103aaa
1280346
135a960
14448bc
1534469
hex289e6

166374 has 40 divisors (see below), whose sum is σ = 406560. Its totient is φ = 50544.

The previous prime is 166363. The next prime is 166393. The reversal of 166374 is 473661.

166374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 553-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166374.

It is an unprimeable number.

166374 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2067 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

166374 is a Friedman number, since it can be written as (7^(6-4)+6)^3-1, using all its digits and the basic arithmetic operations.

2166374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280).

166374 is an abundant number, since it is smaller than the sum of its proper divisors (240186).

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

166374 is a wasteful number, since it uses less digits than its factorization.

166374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 166374 is about 407.8896909705. The cubic root of 166374 is about 54.9998898069. Note that the first 3 decimals are identical.

It can be divided in two parts, 16637 and 4, that added together give a square (16641 = 1292).

The spelling of 166374 in words is "one hundred sixty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 81 117 158 162 234 237 351 474 702 711 1027 1053 1422 2054 2106 2133 3081 4266 6162 6399 9243 12798 18486 27729 55458 83187 166374