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36232137 = 331341931
BaseRepresentation
bin1000101000110…
…1101111001001
32112011210011000
42022031233021
533233412022
63332325213
7616653024
oct212155711
975153130
1036232137
11194a7817
1210173809
137677846
144b521bb
1532aa6ac
hex228dbc9

36232137 has 8 divisors (see below), whose sum is σ = 53677280. Its totient is φ = 24154740.

The previous prime is 36232123. The next prime is 36232169. The reversal of 36232137 is 73123263.

36232137 is a `hidden beast` number, since 3 + 623 + 2 + 1 + 37 = 666.

36232137 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 36232137 - 210 = 36231113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1341931 = 36232137 / (3 + 6 + 2 + 3 + 2 + 1 + 3 + 7).

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 36232137.

It is not an unprimeable number, because it can be changed into a prime (36232237) 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 7 ways as a sum of consecutive naturals, for example, 670939 + ... + 670992.

It is an arithmetic number, because the mean of its divisors is an integer number (6709660).

Almost surely, 236232137 is an apocalyptic number.

It is an amenable number.

36232137 is a deficient number, since it is larger than the sum of its proper divisors (17445143).

36232137 is a wasteful number, since it uses less digits than its factorization.

36232137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341940 (or 1341934 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 36232137 is about 6019.3136651947. The cubic root of 36232137 is about 330.9009265893.

The spelling of 36232137 in words is "thirty-six million, two hundred thirty-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 1341931 4025793 12077379 36232137