Search a number
-
+
10518040 = 23513113179
BaseRepresentation
bin101000000111…
…111000011000
3201210101001001
4220013320120
510143034130
61013234344
7155254561
oct50077030
921711031
1010518040
115a343a5
1236329b4
1322435c0
14157b168
15dcb6ca
hexa07e18

10518040 has 64 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 3827712.

The previous prime is 10518037. The next prime is 10518043. The reversal of 10518040 is 4081501.

10518040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (10518037) and next prime (10518043).

It is a super-2 number, since 2×105180402 = 221258330883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10517999 and 10518017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10518043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58671 + ... + 58849.

Almost surely, 210518040 is an apocalyptic number.

10518040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10518040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

10518040 is an abundant number, since it is smaller than the sum of its proper divisors (15337160).

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

10518040 is a wasteful number, since it uses less digits than its factorization.

10518040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10518040 is about 3243.1527870268. The cubic root of 10518040 is about 219.1012924254.

Adding to 10518040 its reverse (4081501), we get a palindrome (14599541).

It can be divided in two parts, 105 and 18040, that added together give a triangular number (18145 = T190).

The spelling of 10518040 in words is "ten million, five hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 179 226 260 358 452 520 565 716 895 904 1130 1432 1469 1790 2260 2327 2938 3580 4520 4654 5876 7160 7345 9308 11635 11752 14690 18616 20227 23270 29380 40454 46540 58760 80908 93080 101135 161816 202270 262951 404540 525902 809080 1051804 1314755 2103608 2629510 5259020 10518040