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160768 = 210157
BaseRepresentation
bin100111010000000000
322011112101
4213100000
520121033
63240144
71236466
oct472000
9264471
10160768
11aa873
1279054
135823a
1442836
153297d
hex27400

160768 has 22 divisors (see below), whose sum is σ = 323426. Its totient is φ = 79872.

The previous prime is 160757. The next prime is 160781. The reversal of 160768 is 867061.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 36864 = 352^2 + 192^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

160768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 946 + ... + 1102.

2160768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161713).

160768 is an abundant number, since it is smaller than the sum of its proper divisors (162658).

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

160768 is an equidigital number, since it uses as much as digits as its factorization.

160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 160768 is about 400.9588507565. The cubic root of 160768 is about 54.3750750869.

The spelling of 160768 in words is "one hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1024 1256 2512 5024 10048 20096 40192 80384 160768