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315201320 = 23572160817
BaseRepresentation
bin10010110010011…
…001011100101000
3210222002212220222
4102302121130220
51121142420240
651135505212
710545111200
oct2262313450
9728085828
10315201320
11151a17465
1289688208
13503c0c75
142dc0d400
151ca12eb5
hex12c99728

315201320 has 48 divisors (see below), whose sum is σ = 824996340. Its totient is φ = 108068352.

The previous prime is 315201283. The next prime is 315201323. The reversal of 315201320 is 23102513.

It can be written as a sum of positive squares in 2 ways, for example, as 285542404 + 29658916 = 16898^2 + 5446^2 .

It is not an unprimeable number, because it can be changed into a prime (315201323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78449 + ... + 82368.

Almost surely, 2315201320 is an apocalyptic number.

It is an amenable number.

315201320 is an abundant number, since it is smaller than the sum of its proper divisors (509795020).

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

315201320 is a wasteful number, since it uses less digits than its factorization.

315201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160842 (or 160831 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 315201320 is about 17753.9099918863. The cubic root of 315201320 is about 680.5541330885.

Adding to 315201320 its reverse (23102513), we get a palindrome (338303833).

The spelling of 315201320 in words is "three hundred fifteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 160817 321634 643268 804085 1125719 1286536 1608170 2251438 3216340 4502876 5628595 6432680 7880033 9005752 11257190 15760066 22514380 31520132 39400165 45028760 63040264 78800330 157600660 315201320