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35141085 = 3257215937
BaseRepresentation
bin1000011000001…
…1010111011101
32110010100111200
42012003113131
532444003320
63253110113
7604460100
oct206032735
973110450
1035141085
1118922021
12b928339
137385055
14494a737
153142290
hex21835dd

35141085 has 36 divisors (see below), whose sum is σ = 70860348. Its totient is φ = 16063488.

The previous prime is 35141003. The next prime is 35141087. The reversal of 35141085 is 58014153.

35141085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 16426809 = 4326^2 + 4053^2 .

It is not a de Polignac number, because 35141085 - 214 = 35124701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35141087) 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 35 ways as a sum of consecutive naturals, for example, 5764 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (1968343).

Almost surely, 235141085 is an apocalyptic number.

35141085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35141085 is an abundant number, since it is smaller than the sum of its proper divisors (35719263).

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

35141085 is a wasteful number, since it uses less digits than its factorization.

35141085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962 (or 15952 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 35141085 is about 5927.9916497917. The cubic root of 35141085 is about 327.5455640430.

The spelling of 35141085 in words is "thirty-five million, one hundred forty-one thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 15937 47811 79685 111559 143433 239055 334677 557795 717165 780913 1004031 1673385 2342739 3904565 5020155 7028217 11713695 35141085