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133230320 = 24541151269
BaseRepresentation
bin1111111000011…
…10111011110000
3100021200210122022
413330032323300
5233101332240
621115331012
73205303406
oct774167360
9307623568
10133230320
1169228a03
1238750a68
13217a9c12
14139a1476
15ba6a9b5
hex7f0eef0

133230320 has 80 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 51456000.

The previous prime is 133230259. The next prime is 133230341. The reversal of 133230320 is 23032331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495146 + ... + 495414.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2133230320 is an apocalyptic number.

133230320 is a gapful number since it is divisible by the number (10) 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 133230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

133230320 is an abundant number, since it is smaller than the sum of its proper divisors (187374160).

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

133230320 is a wasteful number, since it uses less digits than its factorization.

133230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 133230320 is about 11542.5439137133. The cubic root of 133230320 is about 510.7413542167.

Adding to 133230320 its reverse (23032331), we get a palindrome (156262651).

The spelling of 133230320 in words is "one hundred thirty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 151 164 205 269 302 328 410 538 604 656 755 820 1076 1208 1345 1510 1640 2152 2416 2690 3020 3280 4304 5380 6040 6191 10760 11029 12080 12382 21520 22058 24764 30955 40619 44116 49528 55145 61910 81238 88232 99056 110290 123820 162476 176464 203095 220580 247640 324952 406190 441160 495280 649904 812380 882320 1624760 1665379 3249520 3330758 6661516 8326895 13323032 16653790 26646064 33307580 66615160 133230320