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29130361 = 132971777
BaseRepresentation
bin110111100011…
…1111001111001
32000210222100021
41233013321321
524424132421
62520210441
7502414111
oct157077171
960728307
1029130361
1115497087
129909a21
13605c200
143c24041
152856341
hex1bc7e79

29130361 has 12 divisors (see below), whose sum is σ = 31886652. Its totient is φ = 26597376.

The previous prime is 29130349. The next prime is 29130379. The reversal of 29130361 is 16303192.

It can be written as a sum of positive squares in 6 ways, for example, as 4687225 + 24443136 = 2165^2 + 4944^2 .

It is not a de Polignac number, because 29130361 - 25 = 29130329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29130301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15505 + ... + 17281.

It is an arithmetic number, because the mean of its divisors is an integer number (2657221).

Almost surely, 229130361 is an apocalyptic number.

It is an amenable number.

29130361 is a deficient number, since it is larger than the sum of its proper divisors (2756291).

29130361 is a wasteful number, since it uses less digits than its factorization.

29130361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 29130361 is about 5397.2549504355. The cubic root of 29130361 is about 307.6913511461.

The spelling of 29130361 in words is "twenty-nine million, one hundred thirty thousand, three hundred sixty-one".

Divisors: 1 13 97 169 1261 1777 16393 23101 172369 300313 2240797 29130361