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26214 = 2317257
BaseRepresentation
bin110011001100110
31022221220
412121212
51314324
6321210
7136266
oct63146
938856
1026214
1118771
1213206
13bc16
1497a6
157b79
hex6666

26214 has 16 divisors (see below), whose sum is σ = 55728. Its totient is φ = 8192.

The previous prime is 26209. The next prime is 26227. The reversal of 26214 is 41262.

Adding to 26214 its reverse (41262), we get a palindrome (67476).

It can be divided in two parts, 262 and 14, that added together give a triangular number (276 = T23).

26214 is nontrivially palindromic in base 16.

26214 is an esthetic number in base 4 and base 6, because in such bases its adjacent digits differ by 1.

26214 is an undulating number in base 4.

26214 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 26193 and 26202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26214.

It is an unprimeable number.

In principle, a polygon with 26214 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (3483).

226214 is an apocalyptic number.

26214 is an abundant number, since it is smaller than the sum of its proper divisors (29514).

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 (27864).

26214 is a wasteful number, since it uses less digits than its factorization.

26214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

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

The square root of 26214 is about 161.9073809312. The cubic root of 26214 is about 29.7060174410.

The spelling of 26214 in words is "twenty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 257 514 771 1542 4369 8738 13107 26214