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26390 = 2571329

26390 has 32 divisors (see below), whose sum is σ = 60480. Its totient is φ = 8064.

The previous prime is 26387. The next prime is 26393. The reversal of 26390 is 9362.

26390 = T20 + T21 + ... + T54.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26387) and next prime (26393).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

226390 is an apocalyptic number.

26390 is an abundant number, since it is smaller than the sum of its proper divisors (34090).

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 (30240).

26390 is a wasteful number, since it uses less digits than its factorization.

26390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 26390 is about 162.4499923053. The cubic root of 26390 is about 29.7723509743.

It can be divided in two parts, 263 and 90, that added together give a palindrome (353).

The spelling of 26390 in words is "twenty-six thousand, three hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 29 35 58 65 70 91 130 145 182 203 290 377 406 455 754 910 1015 1885 2030 2639 3770 5278 13195 26390