Search a number
-
+
166914 = 23311281
BaseRepresentation
bin101000110000000010
322110222000
4220300002
520320124
63324430
71263426
oct506002
9273860
10166914
11104450
1280716
135ac87
1444b86
15346c9
hex28c02

166914 has 32 divisors (see below), whose sum is σ = 406080. Its totient is φ = 50400.

The previous prime is 166909. The next prime is 166919. The reversal of 166914 is 419661.

It is an interprime number because it is at equal distance from previous prime (166909) and next prime (166919).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (12690).

2166914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203040).

166914 is an abundant number, since it is smaller than the sum of its proper divisors (239166).

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

166914 is a wasteful number, since it uses less digits than its factorization.

166914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 166914 is about 408.5510983953. The cubic root of 166914 is about 55.0593299157.

The spelling of 166914 in words is "one hundred sixty-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 281 297 562 594 843 1686 2529 3091 5058 6182 7587 9273 15174 18546 27819 55638 83457 166914