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166420 = 22553157
BaseRepresentation
bin101000101000010100
322110021201
4220220110
520311140
63322244
71262122
oct505024
9273251
10166420
11104041
1280384
135a997
1444912
153449a
hex28a14

166420 has 24 divisors (see below), whose sum is σ = 358344. Its totient is φ = 64896.

The previous prime is 166417. The next prime is 166429. The reversal of 166420 is 24661.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 148996 = 132^2 + 386^2 .

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166429) 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, 982 + ... + 1138.

It is an arithmetic number, because the mean of its divisors is an integer number (14931).

2166420 is an apocalyptic number.

166420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166420 is an abundant number, since it is smaller than the sum of its proper divisors (191924).

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

166420 is a wasteful number, since it uses less digits than its factorization.

166420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 166420 is about 407.9460748677. The cubic root of 166420 is about 55.0049582307.

The spelling of 166420 in words is "one hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 157 212 265 314 530 628 785 1060 1570 3140 8321 16642 33284 41605 83210 166420