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26664 = 23311101
BaseRepresentation
bin110100000101000
31100120120
412200220
51323124
6323240
7140511
oct64050
940516
1026664
1119040
1213520
13c1a1
149a08
157d79
hex6828

26664 has 32 divisors (see below), whose sum is σ = 73440. Its totient is φ = 8000.

The previous prime is 26647. The next prime is 26669. The reversal of 26664 is 46662.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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

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, 214 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

226664 is an apocalyptic number.

26664 is a gapful number since it is divisible by the number (24) 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 26664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720).

26664 is an abundant number, since it is smaller than the sum of its proper divisors (46776).

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

26664 is a wasteful number, since it uses less digits than its factorization.

26664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 26664 is about 163.2911510156. The cubic root of 26664 is about 29.8750357428.

Multiplying 26664 by its sum of digits (24), we get a palindrome (639936).

26664 divided by its sum of digits (24) gives a palindrome (1111).

It can be divided in two parts, 2 and 6664, that added together give a palindrome (6666).

The spelling of 26664 in words is "twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664