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166932 = 22324637
BaseRepresentation
bin101000110000010100
322110222200
4220300110
520320212
63324500
71263453
oct506024
9273880
10166932
11104467
1280730
135ac9c
1444b9a
15346dc
hex28c14

166932 has 18 divisors (see below), whose sum is σ = 422058. Its totient is φ = 55632.

The previous prime is 166931. The next prime is 166949. The reversal of 166932 is 239661.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 41616 = 354^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166896 and 166905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2283 + ... + 2354.

2166932 is an apocalyptic number.

166932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166932 is an abundant number, since it is smaller than the sum of its proper divisors (255126).

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

166932 is a wasteful number, since it uses less digits than its factorization.

166932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4642 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 166932 is about 408.5731268696. The cubic root of 166932 is about 55.0613090433.

The spelling of 166932 in words is "one hundred sixty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4637 9274 13911 18548 27822 41733 55644 83466 166932