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26137 = 59443
BaseRepresentation
bin110011000011001
31022212001
412120121
51314022
6321001
7136126
oct63031
938761
1026137
1118701
1213161
13bb87
14974d
157b27
hex6619

26137 has 4 divisors (see below), whose sum is σ = 26640. Its totient is φ = 25636.

The previous prime is 26119. The next prime is 26141. The reversal of 26137 is 73162.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26137 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

226137 is an apocalyptic number.

It is an amenable number.

26137 is a deficient number, since it is larger than the sum of its proper divisors (503).

26137 is an equidigital number, since it uses as much as digits as its factorization.

26137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502.

The product of its digits is 252, while the sum is 19.

The square root of 26137 is about 161.6694157842. The cubic root of 26137 is about 29.6769031431.

Adding to 26137 its reverse (73162), we get a palindrome (99299).

The spelling of 26137 in words is "twenty-six thousand, one hundred thirty-seven".

Divisors: 1 59 443 26137