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166160 = 2453167
BaseRepresentation
bin101000100100010000
322102221002
4220210100
520304120
63321132
71261301
oct504420
9272832
10166160
11103925
12801a8
135a827
14447a8
1534375
hex28910

166160 has 40 divisors (see below), whose sum is σ = 404736. Its totient is φ = 63360.

The previous prime is 166157. The next prime is 166169. The reversal of 166160 is 61661.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166169) 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 7 ways as a sum of consecutive naturals, for example, 2447 + ... + 2513.

2166160 is an apocalyptic number.

166160 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 166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368).

166160 is an abundant number, since it is smaller than the sum of its proper divisors (238576).

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

166160 is a wasteful number, since it uses less digits than its factorization.

166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 166160 is about 407.6272807357. The cubic root of 166160 is about 54.9762983274.

The spelling of 166160 in words is "one hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 67 80 124 134 155 248 268 310 335 496 536 620 670 1072 1240 1340 2077 2480 2680 4154 5360 8308 10385 16616 20770 33232 41540 83080 166160