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115364052 = 22323204557
BaseRepresentation
bin1101110000001…
…01000011010100
322001002002201200
412320011003110
5214013122202
615240352500
72600402226
oct670050324
9261062650
10115364052
115a1357a1
1232775730
131ab92a6b
1411470416
15a1dbe1c
hex6e050d4

115364052 has 18 divisors (see below), whose sum is σ = 291614778. Its totient is φ = 38454672.

The previous prime is 115364027. The next prime is 115364063. The reversal of 115364052 is 250463511.

115364052 is a `hidden beast` number, since 1 + 15 + 3 + 640 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65999376 + 49364676 = 8124^2 + 7026^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1602243 + ... + 1602314.

It is an arithmetic number, because the mean of its divisors is an integer number (16200821).

Almost surely, 2115364052 is an apocalyptic number.

115364052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115364052 is an abundant number, since it is smaller than the sum of its proper divisors (176250726).

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

115364052 is a wasteful number, since it uses less digits than its factorization.

115364052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204567 (or 3204562 counting only the distinct ones).

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

The square root of 115364052 is about 10740.7658944788. The cubic root of 115364052 is about 486.8070217140.

The spelling of 115364052 in words is "one hundred fifteen million, three hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3204557 6409114 9613671 12818228 19227342 28841013 38454684 57682026 115364052