Search a number
-
+
107308029 = 31719374173
BaseRepresentation
bin1100110010101…
…10001111111101
321110220210221110
412121112033331
5204432324104
614351552233
72442050253
oct631261775
9243823843
10107308029
1155633124
122bb2b679
1319301c9a
14103745d3
159649e89
hex66563fd

107308029 has 64 divisors (see below), whose sum is σ = 170069760. Its totient is φ = 59719680.

The previous prime is 107308013. The next prime is 107308039. The reversal of 107308029 is 920803701.

It is a happy number.

It is not a de Polignac number, because 107308029 - 24 = 107308013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107307987 and 107308005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107308039) 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 63 ways as a sum of consecutive naturals, for example, 1469937 + ... + 1470009.

It is an arithmetic number, because the mean of its divisors is an integer number (2657340).

Almost surely, 2107308029 is an apocalyptic number.

107308029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

107308029 is a deficient number, since it is larger than the sum of its proper divisors (62761731).

107308029 is a wasteful number, since it uses less digits than its factorization.

107308029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107308029 is about 10358.9588762578. The cubic root of 107308029 is about 475.2010657548.

The spelling of 107308029 in words is "one hundred seven million, three hundred eight thousand, twenty-nine".

Divisors: 1 3 17 19 37 41 51 57 73 111 123 219 323 629 697 703 779 969 1241 1387 1517 1887 2091 2109 2337 2701 2993 3723 4161 4551 8103 8979 11951 13243 23579 25789 28823 35853 39729 45917 50881 51319 56867 70737 77367 86469 110741 137751 152643 153957 170601 332223 489991 872423 966739 1469973 1882597 2104079 2617269 2900217 5647791 6312237 35769343 107308029