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26620 = 225113
BaseRepresentation
bin110011111111100
31100111221
412133330
51322440
6323124
7140416
oct63774
940457
1026620
1119000
12134a4
13c169
1499b6
157d4a
hex67fc

26620 has 24 divisors (see below), whose sum is σ = 61488. Its totient is φ = 9680.

The previous prime is 26597. The next prime is 26627. The reversal of 26620 is 2662.

It can be divided in two parts, 26 and 620, that added together give a palindrome (646).

26620 = T64 + T65 + ... + T74.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26594 and 26603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26627) by changing a digit.

26620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415 + ... + 2425.

It is an arithmetic number, because the mean of its divisors is an integer number (2562).

226620 is an apocalyptic number.

26620 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 26620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30744).

26620 is an abundant number, since it is smaller than the sum of its proper divisors (34868).

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

26620 is a wasteful number, since it uses less digits than its factorization.

26620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26620 is about 163.1563667161. The cubic root of 26620 is about 29.8585937825.

The spelling of 26620 in words is "twenty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 13310 26620