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36133941 = 3313710501
BaseRepresentation
bin1000100111010…
…1110000110101
32111222210110010
42021311300311
533222241231
63330250433
7616063524
oct211656065
974883403
1036133941
111943aa68
1210126a19
137641c3c
144b284bb
15328b546
hex2275c35

36133941 has 16 divisors (see below), whose sum is σ = 51081728. Its totient is φ = 22680000.

The previous prime is 36133927. The next prime is 36133949. The reversal of 36133941 is 14933163.

36133941 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 36133941 - 27 = 36133813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36133899 and 36133908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36133949) 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, 1810 + ... + 8691.

It is an arithmetic number, because the mean of its divisors is an integer number (3192608).

Almost surely, 236133941 is an apocalyptic number.

36133941 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36133941 is a deficient number, since it is larger than the sum of its proper divisors (14947787).

36133941 is a wasteful number, since it uses less digits than its factorization.

36133941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572.

The product of its digits is 5832, while the sum is 30.

The square root of 36133941 is about 6011.1513872136. The cubic root of 36133941 is about 330.6017212560.

The spelling of 36133941 in words is "thirty-six million, one hundred thirty-three thousand, nine hundred forty-one".

Divisors: 1 3 31 37 93 111 1147 3441 10501 31503 325531 388537 976593 1165611 12044647 36133941