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26180 = 22571117

26180 has 48 divisors (see below), whose sum is σ = 72576. Its totient is φ = 7680.

The previous prime is 26177. The next prime is 26183. The reversal of 26180 is 8162.

26180 = T21 + T22 + ... + T54.

26180 is nontrivially palindromic in base 13.

26180 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (26177) and next prime (26183).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

26180 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13 and base 16.

It is a zygodrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26183) 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, 1532 + ... + 1548.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

226180 is an apocalyptic number.

26180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

26180 is an abundant number, since it is smaller than the sum of its proper divisors (46396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26180 is a wasteful number, since it uses less digits than its factorization.

26180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 26180 is about 161.8023485614. The cubic root of 26180 is about 29.6931688159.

26180 divided by its sum of digits (17) gives a triangular number (1540 = T55).

The spelling of 26180 in words is "twenty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 5236 6545 13090 26180