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26128 = 242371
BaseRepresentation
bin110011000010000
31022211201
412120100
51314003
6320544
7136114
oct63020
938751
1026128
11186a3
1213154
13bb7b
149744
157b1d
hex6610

26128 has 20 divisors (see below), whose sum is σ = 53568. Its totient is φ = 12320.

The previous prime is 26119. The next prime is 26141. The reversal of 26128 is 82162.

It is a happy number.

Its product of digits (192) is a multiple of the sum of its prime divisors (96).

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is an unprimeable 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, 333 + ... + 403.

226128 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 26128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784).

26128 is an abundant number, since it is smaller than the sum of its proper divisors (27440).

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

26128 is a wasteful number, since it uses less digits than its factorization.

26128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 26128 is about 161.6415788094. The cubic root of 26128 is about 29.6734964427.

It can be divided in two parts, 261 and 28, that added together give a square (289 = 172).

The spelling of 26128 in words is "twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 368 568 1136 1633 3266 6532 13064 26128