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128268 = 22327509
BaseRepresentation
bin11111010100001100
320111221200
4133110030
513101033
62425500
71042650
oct372414
9214850
10128268
1188408
1262290
13464ca
1434a60
1528013
hex1f50c

128268 has 36 divisors (see below), whose sum is σ = 371280. Its totient is φ = 36576.

The previous prime is 128257. The next prime is 128273. The reversal of 128268 is 862821.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

128268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 506.

2128268 is an apocalyptic number.

128268 is a gapful number since it is divisible by the number (18) 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 128268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640).

128268 is an abundant number, since it is smaller than the sum of its proper divisors (243012).

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

128268 is a wasteful number, since it uses less digits than its factorization.

128268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 128268 is about 358.1452219422. The cubic root of 128268 is about 50.4319902726.

The spelling of 128268 in words is "one hundred twenty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 509 1018 1527 2036 3054 3563 4581 6108 7126 9162 10689 14252 18324 21378 32067 42756 64134 128268