Search a number
-
+
6144030 = 2325193593
BaseRepresentation
bin10111011100000000011110
3102120011000200
4113130000132
53033102110
6335404330
7103136424
oct27340036
912504020
106144030
113517112
1220836a6
131371729
14b5d114
158156c0
hex5dc01e

6144030 has 48 divisors (see below), whose sum is σ = 16819920. Its totient is φ = 1551744.

The previous prime is 6144029. The next prime is 6144037. The reversal of 6144030 is 304416.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6143994 and 6144012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (350415).

Almost surely, 26144030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409960).

6144030 is an abundant number, since it is smaller than the sum of its proper divisors (10675890).

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

6144030 is a wasteful number, since it uses less digits than its factorization.

6144030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6144030 is about 2478.7153931018. The cubic root of 6144030 is about 183.1545769107.

Adding to 6144030 its reverse (304416), we get a palindrome (6448446).

The spelling of 6144030 in words is "six million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 3593 7186 10779 17965 21558 32337 35930 53895 64674 68267 107790 136534 161685 204801 323370 341335 409602 614403 682670 1024005 1228806 2048010 3072015 6144030