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26140 = 2251307

26140 has 12 divisors (see below), whose sum is σ = 54936. Its totient is φ = 10448.

The previous prime is 26119. The next prime is 26141. The reversal of 26140 is 4162.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26141) 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, 634 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (4578).

226140 is an apocalyptic number.

26140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26140 is an abundant number, since it is smaller than the sum of its proper divisors (28796).

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 (27468).

26140 is a wasteful number, since it uses less digits than its factorization.

26140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 26140 is about 161.6786937107. The cubic root of 26140 is about 29.6780385362.

It can be divided in two parts, 261 and 40, that multiplied together give a triangular number (10440 = T144).

The spelling of 26140 in words is "twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1307 2614 5228 6535 13070 26140