Search a number
-
+
4105152660 = 223579774173
BaseRepresentation
bin1111010010101111…
…1010100010010100
3101121002120100210010
43310223322202110
531401404341120
61515203400220
7203505136050
oct36453724224
911532510703
104105152660
111817284a54
12966983070
1350564a61b
142ad2c6c60
151905e67e0
hexf4afa894

4105152660 has 48 divisors (see below), whose sum is σ = 13136489856. Its totient is φ = 938320512.

The previous prime is 4105152643. The next prime is 4105152719. The reversal of 4105152660 is 662515014.

It is a super-3 number, since 3×41051526603 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4886667 + ... + 4887506.

It is an arithmetic number, because the mean of its divisors is an integer number (273676872).

Almost surely, 24105152660 is an apocalyptic number.

It is an amenable number.

4105152660 is an abundant number, since it is smaller than the sum of its proper divisors (9031337196).

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

4105152660 is a wasteful number, since it uses less digits than its factorization.

4105152660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774192 (or 9774190 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 4105152660 is about 64071.4652556034. The cubic root of 4105152660 is about 1601.1908660331.

Adding to 4105152660 its reverse (662515014), we get a palindrome (4767667674).

The spelling of 4105152660 in words is "four billion, one hundred five million, one hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 9774173 19548346 29322519 39096692 48870865 58645038 68419211 97741730 117290076 136838422 146612595 195483460 205257633 273676844 293225190 342096055 410515266 586450380 684192110 821030532 1026288165 1368384220 2052576330 4105152660