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36520127 = 753173569
BaseRepresentation
bin1000101101010…
…0000010111111
32112201102012022
42023110002333
533322121002
63342430355
7622262450
oct213240277
975642168
1036520127
1119684126
12102923bb
137748957
144bc9127
153315ba2
hex22d40bf

36520127 has 16 divisors (see below), whose sum is σ = 42845760. Its totient is φ = 30481152.

The previous prime is 36520103. The next prime is 36520129. The reversal of 36520127 is 72102563.

36520127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36520127 - 212 = 36516031 is a prime.

It is a super-2 number, since 2×365201272 = 2667439352192258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36520096 and 36520105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36520129) 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 15 ways as a sum of consecutive naturals, for example, 63899 + ... + 64467.

It is an arithmetic number, because the mean of its divisors is an integer number (2677860).

Almost surely, 236520127 is an apocalyptic number.

36520127 is a deficient number, since it is larger than the sum of its proper divisors (6325633).

36520127 is a wasteful number, since it uses less digits than its factorization.

36520127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 36520127 is about 6043.1884796025. The cubic root of 36520127 is about 331.7753324676.

The spelling of 36520127 in words is "thirty-six million, five hundred twenty thousand, one hundred twenty-seven".

Divisors: 1 7 53 173 371 569 1211 3983 9169 30157 64183 98437 211099 689059 5217161 36520127