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36141157 = 132792707
BaseRepresentation
bin1000100111011…
…1100001100101
32112000011100101
42021313201211
533223004112
63330344101
7616123543
oct211674145
975004311
1036141157
1119445428
121012b031
137645300
144b2ad93
15328d757
hex2277865

36141157 has 12 divisors (see below), whose sum is σ = 39645120. Its totient is φ = 32926608.

The previous prime is 36141151. The next prime is 36141179. The reversal of 36141157 is 75114163.

36141157 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 36141157 - 211 = 36139109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36141151) 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 11 ways as a sum of consecutive naturals, for example, 11998 + ... + 14704.

It is an arithmetic number, because the mean of its divisors is an integer number (3303760).

Almost surely, 236141157 is an apocalyptic number.

It is an amenable number.

36141157 is a deficient number, since it is larger than the sum of its proper divisors (3503963).

36141157 is a wasteful number, since it uses less digits than its factorization.

36141157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2799 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 36141157 is about 6011.7515750403. The cubic root of 36141157 is about 330.6237270044.

The spelling of 36141157 in words is "thirty-six million, one hundred forty-one thousand, one hundred fifty-seven".

Divisors: 1 13 79 169 1027 2707 13351 35191 213853 457483 2780089 36141157