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26724 = 22317131
BaseRepresentation
bin110100001100100
31100122210
412201210
51323344
6323420
7140625
oct64144
940583
1026724
1119095
1213570
13c219
149a4c
157db9
hex6864

26724 has 24 divisors (see below), whose sum is σ = 66528. Its totient is φ = 8320.

The previous prime is 26723. The next prime is 26729. The reversal of 26724 is 42762.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26723) 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, 139 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

226724 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 26724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

26724 is an abundant number, since it is smaller than the sum of its proper divisors (39804).

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

26724 is a wasteful number, since it uses less digits than its factorization.

26724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 26724 is about 163.4747686954. The cubic root of 26724 is about 29.8974274734.

The spelling of 26724 in words is "twenty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1572 2227 4454 6681 8908 13362 26724