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26129 = 172953
BaseRepresentation
bin110011000010001
31022211202
412120101
51314004
6320545
7136115
oct63021
938752
1026129
11186a4
1213155
13bb7c
149745
157b1e
hex6611

26129 has 8 divisors (see below), whose sum is σ = 29160. Its totient is φ = 23296.

The previous prime is 26119. The next prime is 26141. The reversal of 26129 is 92162.

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 16129 = 100^2 + 127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 26129 - 24 = 26113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 26129.

It is not an unprimeable number, because it can be changed into a prime (26119) 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, 467 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

226129 is an apocalyptic number.

26129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

26129 is a deficient number, since it is larger than the sum of its proper divisors (3031).

26129 is a wasteful number, since it uses less digits than its factorization.

26129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its digits is 216, while the sum is 20.

The square root of 26129 is about 161.6446720433. The cubic root of 26129 is about 29.6738750036.

It can be divided in two parts, 261 and 29, that multiplied together give a square (7569 = 872).

The spelling of 26129 in words is "twenty-six thousand, one hundred twenty-nine".

Divisors: 1 17 29 53 493 901 1537 26129