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264 = 23311
BaseRepresentation
bin100001000
3100210
410020
52024
61120
7525
oct410
9323
10264
11220
121a0
13174
1414c
15129
hex108

264 has 16 divisors (see below), whose sum is σ = 720. Its totient is φ = 80.

The previous prime is 263. The next prime is 269. The reversal of 264 is 462.

Adding to 264 its sum of digits (12), we get a triangular number (276 = T23).

Subtracting from 264 its sum of digits (12), we obtain a palindrome (252).

264 divided by its sum of digits (12) gives a palindrome (22).

Subtracting from 264 its product of digits (48), we obtain a cube (216 = 63).

It can be divided in two parts, 2 and 64, that multiplied together give a 7-th power (128 = 27).

264 is nontrivially palindromic in base 7 and base 9.

264 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a d-powerful number, because it can be written as 2 + 6 + 44 .

It is one of the 548 Lynch-Bell numbers.

264 is an undulating number in base 7 and base 9.

Its product of digits (48) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 8 and base 11.

It is not an unprimeable number, because it can be changed into a prime (263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 29.

It is an arithmetic number, because the mean of its divisors is an integer number (45).

264 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 264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360).

264 is an abundant number, since it is smaller than the sum of its proper divisors (456).

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

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

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

The sum of its prime factors is 20 (or 16 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 264 is about 16.2480768093. The cubic root of 264 is about 6.4150686600.

The spelling of 264 in words is "two hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264