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BaseRepresentation
bin11111010000000000
320111120202
4133100000
513044000
62424332
71042115
oct372000
9214522
10128000
1188194
12620a8
1346352
143490c
1527dd5
hex1f400

128000 has 44 divisors (see below), whose sum is σ = 319332. Its totient is φ = 51200.

The previous prime is 127997. The next prime is 128021. The reversal of 128000 is 821.

128000 divided by its product of nonzero digits (16) gives a cube (8000 = 203).

Adding to 128000 its reverse (821), we get a palindrome (128821).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 123904 = 64^2 + 352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25598 + ... + 25602.

2128000 is an apocalyptic number.

128000 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 128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159666).

128000 is an abundant number, since it is smaller than the sum of its proper divisors (191332).

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

128000 is an frugal number, since it uses more digits than its factorization.

128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 128000 is about 357.7708764000. The cubic root of 128000 is about 50.3968419958.

The spelling of 128000 in words is "one hundred twenty-eight thousand".