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133388268 = 223137112043
BaseRepresentation
bin1111111001101…
…01011111101100
3100021222211022020
413330311133230
5233121411033
621122550140
73206532036
oct774653754
9307884266
10133388268
1169326642
1238808350
1321833a90
1413a02c56
15ba9c6b3
hex7f357ec

133388268 has 48 divisors (see below), whose sum is σ = 339929856. Its totient is φ = 40461120.

The previous prime is 133388267. The next prime is 133388287. The reversal of 133388268 is 862883331.

It is not an unprimeable number, because it can be changed into a prime (133388267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5055 + ... + 17097.

It is an arithmetic number, because the mean of its divisors is an integer number (7081872).

Almost surely, 2133388268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133388268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169964928).

133388268 is an abundant number, since it is smaller than the sum of its proper divisors (206541588).

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

133388268 is a wasteful number, since it uses less digits than its factorization.

133388268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12132 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 133388268 is about 11549.3838796708. The cubic root of 133388268 is about 510.9431068842.

The spelling of 133388268 in words is "one hundred thirty-three million, three hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 12043 24086 36129 48172 72258 144516 156559 313118 469677 626236 855053 939354 1710106 1878708 2565159 3420212 5130318 10260636 11115689 22231378 33347067 44462756 66694134 133388268