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26680 = 2352329
BaseRepresentation
bin110100000111000
31100121011
412200320
51323210
6323304
7140533
oct64070
940534
1026680
1119055
1213534
13c1b4
149a1a
157d8a
hex6838

26680 has 32 divisors (see below), whose sum is σ = 64800. Its totient is φ = 9856.

The previous prime is 26669. The next prime is 26681. The reversal of 26680 is 8662.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 906 + ... + 934.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

226680 is an apocalyptic number.

26680 is a gapful number since it is divisible by the number (20) 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 26680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400).

26680 is an abundant number, since it is smaller than the sum of its proper divisors (38120).

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

26680 is a wasteful number, since it uses less digits than its factorization.

26680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 26680 is about 163.3401359128. The cubic root of 26680 is about 29.8810101527.

The spelling of 26680 in words is "twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 13340 26680