Search a number
-
+
387135112 = 23713677937
BaseRepresentation
bin10111000100110…
…011011010001000
3222222110111112111
4113010303122020
51243101310422
6102225352104
712410410540
oct2704633210
9888414474
10387135112
11189589381
12a9798634
1362288a40
14395b6320
1523ec1a77
hex17133688

387135112 has 64 divisors (see below), whose sum is σ = 906837120. Its totient is φ = 150847488.

The previous prime is 387135083. The next prime is 387135113. The reversal of 387135112 is 211531783.

It is not an unprimeable number, because it can be changed into a prime (387135113) 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, 44808 + ... + 52744.

It is an arithmetic number, because the mean of its divisors is an integer number (14169330).

Almost surely, 2387135112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418560).

387135112 is an abundant number, since it is smaller than the sum of its proper divisors (519702008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387135112 is a wasteful number, since it uses less digits than its factorization.

387135112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8026 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 387135112 is about 19675.7493376999. The cubic root of 387135112 is about 728.8209603079.

Adding to 387135112 its reverse (211531783), we get a palindrome (598666895).

It can be divided in two parts, 3871 and 35112, that added together give a palindrome (38983).

The spelling of 387135112 in words is "three hundred eighty-seven million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 67 91 104 134 182 268 364 469 536 728 871 938 1742 1876 3484 3752 6097 6968 7937 12194 15874 24388 31748 48776 55559 63496 103181 111118 206362 222236 412724 444472 531779 722267 825448 1063558 1444534 2127116 2889068 3722453 4254232 5778136 6913127 7444906 13826254 14889812 27652508 29779624 48391889 55305016 96783778 193567556 387135112