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166860 = 22345103
BaseRepresentation
bin101000101111001100
322110220000
4220233030
520314420
63324300
71263321
oct505714
9273800
10166860
11104401
1280690
135ac45
1444b48
1534690
hex28bcc

166860 has 60 divisors (see below), whose sum is σ = 528528. Its totient is φ = 44064.

The previous prime is 166853. The next prime is 166861. The reversal of 166860 is 68661.

166860 is nontrivially palindromic in base 11.

166860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (166861) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1569 + ... + 1671.

2166860 is an apocalyptic number.

166860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264264).

166860 is an abundant number, since it is smaller than the sum of its proper divisors (361668).

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

166860 is a wasteful number, since it uses less digits than its factorization.

166860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 166860 is about 408.4850058448. The cubic root of 166860 is about 55.0533916790.

It can be divided in two parts, 1668 and 60, that added together give a cube (1728 = 123).

The spelling of 166860 in words is "one hundred sixty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 270 309 324 405 412 515 540 618 810 927 1030 1236 1545 1620 1854 2060 2781 3090 3708 4635 5562 6180 8343 9270 11124 13905 16686 18540 27810 33372 41715 55620 83430 166860