Search a number
-
+
166880 = 2557149
BaseRepresentation
bin101000101111100000
322110220202
4220233200
520320010
63324332
71263350
oct505740
9273822
10166880
1110441a
12806a8
135ac5c
1444b60
15346a5
hex28be0

166880 has 48 divisors (see below), whose sum is σ = 453600. Its totient is φ = 56832.

The previous prime is 166871. The next prime is 166909. The reversal of 166880 is 88661.

It is a congruent number.

It is an unprimeable number.

166880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2166880 is an apocalyptic number.

166880 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 166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

166880 is an abundant number, since it is smaller than the sum of its proper divisors (286720).

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

166880 is a wasteful number, since it uses less digits than its factorization.

166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 166880 is about 408.5094858140. The cubic root of 166880 is about 55.0555911753.

The spelling of 166880 in words is "one hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 149 160 224 280 298 560 596 745 1043 1120 1192 1490 2086 2384 2980 4172 4768 5215 5960 8344 10430 11920 16688 20860 23840 33376 41720 83440 166880