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36148137 = 3171275581
BaseRepresentation
bin1000100111100…
…1001110101001
32112000111220220
42021321032221
533223220022
63330440253
7616153104
oct211711651
975014826
1036148137
111944a6a3
1210133089
13764853c
144b2d73b
15329085c
hex22793a9

36148137 has 16 divisors (see below), whose sum is σ = 51443712. Its totient is φ = 22498560.

The previous prime is 36148129. The next prime is 36148163. The reversal of 36148137 is 73184163.

36148137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36148137 - 23 = 36148129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36148098 and 36148107.

It is not an unprimeable number, because it can be changed into a prime (36148187) 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, 3687 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (3215232).

Almost surely, 236148137 is an apocalyptic number.

It is an amenable number.

36148137 is a deficient number, since it is larger than the sum of its proper divisors (15295575).

36148137 is a wasteful number, since it uses less digits than its factorization.

36148137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728.

The product of its digits is 12096, while the sum is 33.

The square root of 36148137 is about 6012.3320766571. The cubic root of 36148137 is about 330.6450102657.

The spelling of 36148137 in words is "thirty-six million, one hundred forty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 17 51 127 381 2159 5581 6477 16743 94877 284631 708787 2126361 12049379 36148137