Search a number
-
+
518130 = 233519101
BaseRepresentation
bin1111110011111110010
3222022202000
41332133302
5113040010
615034430
74255404
oct1763762
9868660
10518130
11324308
1220ba16
13151ab2
14d6b74
15a37c0
hex7e7f2

518130 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 129600.

The previous prime is 518129. The next prime is 518131. The reversal of 518130 is 31815.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (518129) and next prime (518131).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5080 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2518130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

518130 is an abundant number, since it is smaller than the sum of its proper divisors (950670).

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

518130 is a wasteful number, since it uses less digits than its factorization.

518130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 518130 is about 719.8124755796. The cubic root of 518130 is about 80.3180050681.

Adding to 518130 its reverse (31815), we get a palindrome (549945).

The spelling of 518130 in words is "five hundred eighteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 101 114 135 171 190 202 270 285 303 342 505 513 570 606 855 909 1010 1026 1515 1710 1818 1919 2565 2727 3030 3838 4545 5130 5454 5757 9090 9595 11514 13635 17271 19190 27270 28785 34542 51813 57570 86355 103626 172710 259065 518130