Search a number
-
+
166452 = 223111397
BaseRepresentation
bin101000101000110100
322110022220
4220220310
520311302
63322340
71262166
oct505064
9273286
10166452
11104070
12803b0
135a9c0
1444936
15344bc
hex28a34

166452 has 48 divisors (see below), whose sum is σ = 460992. Its totient is φ = 46080.

The previous prime is 166429. The next prime is 166457. The reversal of 166452 is 254661.

166452 is nontrivially palindromic in base 5.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166457) by changing a digit.

166452 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668 + ... + 1764.

It is an arithmetic number, because the mean of its divisors is an integer number (9604).

2166452 is an apocalyptic number.

166452 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 166452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230496).

166452 is an abundant number, since it is smaller than the sum of its proper divisors (294540).

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

166452 is a wasteful number, since it uses less digits than its factorization.

166452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 166452 is about 407.9852938526. The cubic root of 166452 is about 55.0084835399.

Subtracting 166452 from its reverse (254661), we obtain a square (88209 = 2972).

The spelling of 166452 in words is "one hundred sixty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 97 132 143 156 194 286 291 388 429 572 582 858 1067 1164 1261 1716 2134 2522 3201 3783 4268 5044 6402 7566 12804 13871 15132 27742 41613 55484 83226 166452