Search a number
-
+
26340 = 2235439
BaseRepresentation
bin110011011100100
31100010120
412123210
51320330
6321540
7136536
oct63344
940116
1026340
1118876
12132b0
13bcb2
149856
157c10
hex66e4

26340 has 24 divisors (see below), whose sum is σ = 73920. Its totient is φ = 7008.

The previous prime is 26339. The next prime is 26347. The reversal of 26340 is 4362.

26340 = T41 + T42 + ... + T60.

26340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

26340 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

26340 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (26347) 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, 160 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

226340 is an apocalyptic number.

26340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26340 is an abundant number, since it is smaller than the sum of its proper divisors (47580).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960).

26340 is a wasteful number, since it uses less digits than its factorization.

26340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 26340 is about 162.2960258293. The cubic root of 26340 is about 29.7535362884.

It can be divided in two parts, 263 and 40, that added together give a palindrome (303).

The spelling of 26340 in words is "twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 439 878 1317 1756 2195 2634 4390 5268 6585 8780 13170 26340