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133424 = 2431269
BaseRepresentation
bin100000100100110000
320210000122
4200210300
513232144
62505412
71063664
oct404460
9223018
10133424
1191275
1265268
1348965
14368a4
15297ee
hex20930

133424 has 20 divisors (see below), whose sum is σ = 267840. Its totient is φ = 64320.

The previous prime is 133417. The next prime is 133439. The reversal of 133424 is 424331.

Adding to 133424 its reverse (424331), we get a palindrome (557755).

133424 is an admirable number.

It is an unprimeable number.

133424 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 3 ways as a sum of consecutive naturals, for example, 362 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2133424 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 133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

133424 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

133424 is a wasteful number, since it uses less digits than its factorization.

133424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 133424 is about 365.2725010181. The cubic root of 133424 is about 51.0988726561.

The spelling of 133424 in words is "one hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 269 496 538 1076 2152 4304 8339 16678 33356 66712 133424