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166900 = 22521669
BaseRepresentation
bin101000101111110100
322110221111
4220233310
520320100
63324404
71263406
oct505764
9273844
10166900
11104438
1280704
135ac76
1444b76
15346ba
hex28bf4

166900 has 18 divisors (see below), whose sum is σ = 362390. Its totient is φ = 66720.

The previous prime is 166871. The next prime is 166909. The reversal of 166900 is 9661.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 155236 = 108^2 + 394^2 .

It is a super-2 number, since 2×1669002 = 55711220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166909) 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, 735 + ... + 934.

2166900 is an apocalyptic number.

166900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166900 is an abundant number, since it is smaller than the sum of its proper divisors (195490).

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

166900 is a wasteful number, since it uses less digits than its factorization.

166900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 166900 is about 408.5339643163. The cubic root of 166900 is about 55.0577904958.

The spelling of 166900 in words is "one hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1669 3338 6676 8345 16690 33380 41725 83450 166900