Search a number
-
+
13018016 = 2511311193
BaseRepresentation
bin110001101010…
…001110100000
3220111101100202
4301222032200
511313034031
61143004332
7215436254
oct61521640
926441322
1013018016
1173916a0
1244396a8
13290a48b
141a2c264
1512222cb
hexc6a3a0

13018016 has 48 divisors (see below), whose sum is σ = 28885248. Its totient is φ = 5721600.

The previous prime is 13018009. The next prime is 13018037. The reversal of 13018016 is 61081031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10316 + ... + 11508.

It is an arithmetic number, because the mean of its divisors is an integer number (601776).

Almost surely, 213018016 is an apocalyptic number.

13018016 is a gapful number since it is divisible by the number (16) 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 13018016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442624).

13018016 is an abundant number, since it is smaller than the sum of its proper divisors (15867232).

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

13018016 is a wasteful number, since it uses less digits than its factorization.

13018016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 13018016 is about 3608.0487801581. The cubic root of 13018016 is about 235.2420382384.

Adding to 13018016 its reverse (61081031), we get a palindrome (74099047).

The spelling of 13018016 in words is "thirteen million, eighteen thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1193 1364 2386 2728 4772 5456 9544 10912 13123 19088 26246 36983 38176 52492 73966 104984 147932 209968 295864 406813 419936 591728 813626 1183456 1627252 3254504 6509008 13018016