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166770 = 232517109
BaseRepresentation
bin101000101101110010
322110202200
4220231302
520314040
63324030
71263132
oct505562
9273680
10166770
1110432a
1280616
135aba6
1444ac2
1534630
hex28b72

166770 has 48 divisors (see below), whose sum is σ = 463320. Its totient is φ = 41472.

The previous prime is 166741. The next prime is 166781. The reversal of 166770 is 77661.

166770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 7569 = 399^2 + 87^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476 + ... + 1584.

2166770 is an apocalyptic number.

166770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231660).

166770 is an abundant number, since it is smaller than the sum of its proper divisors (296550).

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

166770 is a wasteful number, since it uses less digits than its factorization.

166770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 166770 is about 408.3748278237. The cubic root of 166770 is about 55.0434917702.

It can be divided in two parts, 16 and 6770, that added together give a triangular number (6786 = T116).

The spelling of 166770 in words is "one hundred sixty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 306 327 510 545 654 765 981 1090 1530 1635 1853 1962 3270 3706 4905 5559 9265 9810 11118 16677 18530 27795 33354 55590 83385 166770