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26660 = 2253143
BaseRepresentation
bin110100000100100
31100120102
412200210
51323120
6323232
7140504
oct64044
940512
1026660
1119037
1213518
13c19a
149a04
157d75
hex6824

26660 has 24 divisors (see below), whose sum is σ = 59136. Its totient is φ = 10080.

The previous prime is 26647. The next prime is 26669. The reversal of 26660 is 6662.

26660 = T25 + T26 + ... + T55.

26660 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

26660 is an undulating number in base 6.

It is not an unprimeable number, because it can be changed into a prime (26669) by changing a digit.

26660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (2464).

226660 is an apocalyptic number.

26660 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 26660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568).

26660 is an abundant number, since it is smaller than the sum of its proper divisors (32476).

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

26660 is a wasteful number, since it uses less digits than its factorization.

26660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 26660 is about 163.2789024951. The cubic root of 26660 is about 29.8735417669.

It can be divided in two parts, 26 and 660, that added together give a palindrome (686).

The spelling of 26660 in words is "twenty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 620 860 1333 2666 5332 6665 13330 26660