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269664 = 253532
BaseRepresentation
bin1000001110101100000
3111200220120
41001311200
532112124
65440240
72202123
oct1016540
9450816
10269664
1117466a
12110080
1395985
14703ba
1554d79
hex41d60

269664 has 36 divisors (see below), whose sum is σ = 721476. Its totient is φ = 88192.

The previous prime is 269663. The next prime is 269683. The reversal of 269664 is 466962.

269664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5062 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (20041).

269664 is a Friedman number, since it can be written as 6*(6^(9-6)-4)^2, using all its digits and the basic arithmetic operations.

2269664 is an apocalyptic number.

269664 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 269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360738).

269664 is an abundant number, since it is smaller than the sum of its proper divisors (451812).

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

269664 is an equidigital number, since it uses as much as digits as its factorization.

269664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 58 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 269664 is about 519.2918254700. The cubic root of 269664 is about 64.6062188290.

The spelling of 269664 in words is "two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 2809 5088 5618 8427 11236 16854 22472 33708 44944 67416 89888 134832 269664