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105003852 = 2238750321
BaseRepresentation
bin1100100001000…
…11101101001100
321022120202012120
412100203231030
5203340110402
614230332540
72413342452
oct620435514
9238522176
10105003852
11542a9a48
122b1ba150
13189a6275
14dd349d2
1593423bc
hex6423b4c

105003852 has 12 divisors (see below), whose sum is σ = 245009016. Its totient is φ = 35001280.

The previous prime is 105003841. The next prime is 105003853. The reversal of 105003852 is 258300501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1050038522 = 22051617869675808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105003853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4375149 + ... + 4375172.

It is an arithmetic number, because the mean of its divisors is an integer number (20417418).

Almost surely, 2105003852 is an apocalyptic number.

105003852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105003852 is an abundant number, since it is smaller than the sum of its proper divisors (140005164).

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

105003852 is a wasteful number, since it uses less digits than its factorization.

105003852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750328 (or 8750326 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105003852 is about 10247.1387225898. The cubic root of 105003852 is about 471.7751670269.

The spelling of 105003852 in words is "one hundred five million, three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 8750321 17500642 26250963 35001284 52501926 105003852