Search a number
-
+
26124 = 2237311
BaseRepresentation
bin110011000001100
31022211120
412120030
51313444
6320540
7136110
oct63014
938746
1026124
111869a
1213150
13bb77
149740
157b19
hex660c

26124 has 24 divisors (see below), whose sum is σ = 69888. Its totient is φ = 7440.

The previous prime is 26119. The next prime is 26141. The reversal of 26124 is 42162.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 2 and base 13.

It is a congruent number.

It is an unprimeable number.

26124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

226124 is an apocalyptic number.

It is an amenable number.

26124 is an abundant number, since it is smaller than the sum of its proper divisors (43764).

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 (34944).

26124 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (26123) it forms an eRAP, since the sums of their prime factors are consecutive (324 and 325).

26124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 26124 is about 161.6292052817. The cubic root of 26124 is about 29.6719821025.

Adding to 26124 its reverse (42162), we get a palindrome (68286).

The spelling of 26124 in words is "twenty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 311 622 933 1244 1866 2177 3732 4354 6531 8708 13062 26124