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166320 = 24335711
BaseRepresentation
bin101000100110110000
322110011000
4220212300
520310240
63322000
71261620
oct504660
9273130
10166320
11103a60
1280300
135a91b
1444880
1534430
hex289b0

166320 has 160 divisors (see below), whose sum is σ = 714240. Its totient is φ = 34560.

The previous prime is 166319. The next prime is 166349. The reversal of 166320 is 23661.

Adding to 166320 its reverse (23661), we get a palindrome (189981).

It can be divided in two parts, 16 and 6320, that added together give a palindrome (6336).

166320 = 562 + 572 + ... + 872.

It is a happy number.

166320 is a `hidden beast` number, since 1 + 663 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 3 and base 6.

It is a junction number, because it is equal to n+sod(n) for n = 166293 and 166302.

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 15115 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

166320 is a highly composite number, because it has more divisors than any smaller number.

166320 is a superabundant number, because it has a larger abundancy index than any smaller number.

2166320 is an apocalyptic number.

166320 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 166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

166320 is an abundant number, since it is smaller than the sum of its proper divisors (547920).

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

166320 is a wasteful number, since it uses less digits than its factorization.

166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 166320 is about 407.8234912312. The cubic root of 166320 is about 54.9939387260.

The spelling of 166320 in words is "one hundred sixty-six thousand, three hundred twenty".