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2853135 = 325194771
BaseRepresentation
bin1010111000100100001111
312100221202200
422320210033
51212300020
6141052543
733152115
oct12704417
95327680
102853135
11167966a
12b57153
1378b85c
14543ab5
153b5590
hex2b890f

2853135 has 48 divisors (see below), whose sum is σ = 5391360. Its totient is φ = 1391040.

The previous prime is 2853131. The next prime is 2853157. The reversal of 2853135 is 5313582.

2853135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2853135 - 22 = 2853131 is a prime.

2853135 is a modest number, since divided by 3135 gives 285 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2853099 and 2853108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40150 + ... + 40220.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

22853135 is an apocalyptic number.

2853135 is a deficient number, since it is larger than the sum of its proper divisors (2538225).

2853135 is a wasteful number, since it uses less digits than its factorization.

2853135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2853135 is about 1689.1225532803. The cubic root of 2853135 is about 141.8319608496.

The spelling of 2853135 in words is "two million, eight hundred fifty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 47 57 71 95 141 171 213 235 285 355 423 639 705 855 893 1065 1349 2115 2679 3195 3337 4047 4465 6745 8037 10011 12141 13395 16685 20235 30033 40185 50055 60705 63403 150165 190209 317015 570627 951045 2853135