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26688 = 263139
BaseRepresentation
bin110100001000000
31100121110
412201000
51323223
6323320
7140544
oct64100
940543
1026688
1119062
1213540
13c1bc
149a24
157d93
hex6840

26688 has 28 divisors (see below), whose sum is σ = 71120. Its totient is φ = 8832.

The previous prime is 26687. The next prime is 26693. The reversal of 26688 is 88662.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4608) is a multiple of the sum of its prime divisors (144).

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (26681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2540).

226688 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 26688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35560).

26688 is an abundant number, since it is smaller than the sum of its proper divisors (44432).

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

26688 is a wasteful number, since it uses less digits than its factorization.

26688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 26688 is about 163.3646228533. The cubic root of 26688 is about 29.8839964619.

The spelling of 26688 in words is "twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688