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166431 = 3291913
BaseRepresentation
bin101000101000011111
322110022010
4220220133
520311211
63322303
71262136
oct505037
9273263
10166431
11104051
1280393
135a9a5
144491d
15344a6
hex28a1f

166431 has 8 divisors (see below), whose sum is σ = 229680. Its totient is φ = 107072.

The previous prime is 166429. The next prime is 166457. The reversal of 166431 is 134661.

166431 is nontrivially palindromic in base 13.

166431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 166431 - 21 = 166429 is a prime.

It is a super-2 number, since 2×1664312 = 55398555522, which contains 22 as substring.

166431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 166398 and 166407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (28710).

2166431 is an apocalyptic number.

166431 is a deficient number, since it is larger than the sum of its proper divisors (63249).

166431 is a wasteful number, since it uses less digits than its factorization.

166431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its digits is 432, while the sum is 21.

The square root of 166431 is about 407.9595568191. The cubic root of 166431 is about 55.0061701067.

The spelling of 166431 in words is "one hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 3 29 87 1913 5739 55477 166431