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36100309 = 72736741
BaseRepresentation
bin1000100110110…
…1100011010101
32111221002022111
42021231203111
533220202214
63325431021
7615563500
oct211554325
974832274
1036100309
1119417773
121010b471
13762c83b
144b1a137
1532815c4
hex226d8d5

36100309 has 6 divisors (see below), whose sum is σ = 41994294. Its totient is φ = 30943080.

The previous prime is 36100307. The next prime is 36100313. The reversal of 36100309 is 90300163.

36100309 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 only one way, i.e., 35070084 + 1030225 = 5922^2 + 1015^2 .

It is not a de Polignac number, because 36100309 - 21 = 36100307 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36100309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36100303) 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 5 ways as a sum of consecutive naturals, for example, 368322 + ... + 368419.

It is an arithmetic number, because the mean of its divisors is an integer number (6999049).

Almost surely, 236100309 is an apocalyptic number.

It is an amenable number.

36100309 is a deficient number, since it is larger than the sum of its proper divisors (5893985).

36100309 is an equidigital number, since it uses as much as digits as its factorization.

36100309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736755 (or 736748 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 36100309 is about 6008.3532685753. The cubic root of 36100309 is about 330.4991192129.

The spelling of 36100309 in words is "thirty-six million, one hundred thousand, three hundred nine".

Divisors: 1 7 49 736741 5157187 36100309