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135833047 = 7213272089
BaseRepresentation
bin10000001100010…
…10010111010111
3100110121000220121
420012022113113
5234233124142
621251212411
73236363500
oct1006122727
9313530817
10135833047
116a746419
12395a7107
13221ab7ac
141407bba7
15bdd1c67
hex818a5d7

135833047 has 12 divisors (see below), whose sum is σ = 158204640. Its totient is φ = 116284896.

The previous prime is 135833039. The next prime is 135833051. The reversal of 135833047 is 740338531.

It is not a de Polignac number, because 135833047 - 23 = 135833039 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 (135833017) 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, 63979 + ... + 66067.

It is an arithmetic number, because the mean of its divisors is an integer number (13183720).

Almost surely, 2135833047 is an apocalyptic number.

135833047 is a deficient number, since it is larger than the sum of its proper divisors (22371593).

135833047 is a wasteful number, since it uses less digits than its factorization.

135833047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 135833047 is about 11654.7435407219. The cubic root of 135833047 is about 514.0457990349.

The spelling of 135833047 in words is "one hundred thirty-five million, eight hundred thirty-three thousand, forty-seven".

Divisors: 1 7 49 1327 2089 9289 14623 65023 102361 2772103 19404721 135833047