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164960 = 2551031
BaseRepresentation
bin101000010001100000
322101021122
4220101200
520234320
63311412
71254635
oct502140
9271248
10164960
11102a34
127b568
135a113
144418c
1533d25
hex28460

164960 has 24 divisors (see below), whose sum is σ = 390096. Its totient is φ = 65920.

The previous prime is 164953. The next prime is 164963. The reversal of 164960 is 69461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164963) by changing a digit.

164960 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 in 3 ways as a sum of consecutive naturals, for example, 356 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (16254).

2164960 is an apocalyptic number.

164960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164960 is an abundant number, since it is smaller than the sum of its proper divisors (225136).

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

164960 is a wasteful number, since it uses less digits than its factorization.

164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 164960 is about 406.1526806510. The cubic root of 164960 is about 54.8436329992.

The spelling of 164960 in words is "one hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1031 2062 4124 5155 8248 10310 16496 20620 32992 41240 82480 164960