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853314120 = 233252370317
BaseRepresentation
bin110010110111001…
…000101001001000
32012110122211220200
4302313020221020
53221422022440
6220401252200
730101023161
oct6267105110
92173584820
10853314120
113a874558a
121b9934060
13107a2b8c9
1481486768
154eda8c30
hex32dc8a48

853314120 has 48 divisors (see below), whose sum is σ = 2773272060. Its totient is φ = 227550336.

The previous prime is 853314113. The next prime is 853314127. The reversal of 853314120 is 21413358.

It is a happy number.

853314120 is a `hidden beast` number, since 8 + 533 + 1 + 4 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (853314113) and next prime (853314127).

It can be written as a sum of positive squares in 2 ways, for example, as 806446404 + 46867716 = 28398^2 + 6846^2 .

It is not an unprimeable number, because it can be changed into a prime (853314127) 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, 1184799 + ... + 1185518.

Almost surely, 2853314120 is an apocalyptic number.

It is an amenable number.

853314120 is an abundant number, since it is smaller than the sum of its proper divisors (1919957940).

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

853314120 is a wasteful number, since it uses less digits than its factorization.

853314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370334 (or 2370327 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 853314120 is about 29211.5408700055. The cubic root of 853314120 is about 948.4977624172.

Adding to 853314120 its reverse (21413358), we get a palindrome (874727478).

The spelling of 853314120 in words is "eight hundred fifty-three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2370317 4740634 7110951 9481268 11851585 14221902 18962536 21332853 23703170 28443804 35554755 42665706 47406340 56887608 71109510 85331412 94812680 106664265 142219020 170662824 213328530 284438040 426657060 853314120