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26840 = 2351161
BaseRepresentation
bin110100011011000
31100211002
412203120
51324330
6324132
7141152
oct64330
940732
1026840
1119190
1213648
13c2a8
149ad2
157e45
hex68d8

26840 has 32 divisors (see below), whose sum is σ = 66960. Its totient is φ = 9600.

The previous prime is 26839. The next prime is 26849. The reversal of 26840 is 4862.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410 + ... + 470.

226840 is an apocalyptic number.

26840 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 26840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

26840 is an abundant number, since it is smaller than the sum of its proper divisors (40120).

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

26840 is a wasteful number, since it uses less digits than its factorization.

26840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 26840 is about 163.8291793302. The cubic root of 26840 is about 29.9406232985.

The spelling of 26840 in words is "twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 5368 6710 13420 26840