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64128 = 273167
BaseRepresentation
bin1111101010000000
310020222010
433222000
54023003
61212520
7354651
oct175200
9106863
1064128
11441a9
1231140
132325c
1419528
1514003
hexfa80

64128 has 32 divisors (see below), whose sum is σ = 171360. Its totient is φ = 21248.

The previous prime is 64123. The next prime is 64151. The reversal of 64128 is 82146.

It can be divided in two parts, 64 and 128, that multiplied together give a 13-th power (8192 = 213).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×641282 = 8224800768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (64123) by changing a digit.

64128 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

264128 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 64128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

64128 is an abundant number, since it is smaller than the sum of its proper divisors (107232).

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

64128 is a wasteful number, since it uses less digits than its factorization.

64128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 64128 is about 253.2350686615. The cubic root of 64128 is about 40.0266489086.

The spelling of 64128 in words is "sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 64128