Search a number
-
+
13011516 = 223475737
BaseRepresentation
bin110001101000…
…101000111100
3220111001110000
4301220220330
511312332031
61142514300
7215411310
oct61505074
926431400
1013011516
117387821
124435990
13290752b
141a29b40
1512203e6
hexc68a3c

13011516 has 60 divisors (see below), whose sum is σ = 38880688. Its totient is φ = 3716928.

The previous prime is 13011487. The next prime is 13011529. The reversal of 13011516 is 61511031.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 601 + ... + 5136.

Almost surely, 213011516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440344).

13011516 is an abundant number, since it is smaller than the sum of its proper divisors (25869172).

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

13011516 is a wasteful number, since it uses less digits than its factorization.

13011516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 13011516 is about 3607.1479038154. The cubic root of 13011516 is about 235.2028789735.

Adding to 13011516 its reverse (61511031), we get a palindrome (74522547).

The spelling of 13011516 in words is "thirteen million, eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5737 11474 17211 22948 34422 40159 51633 68844 80318 103266 120477 154899 160636 206532 240954 309798 361431 464697 481908 619596 722862 929394 1084293 1445724 1858788 2168586 3252879 4337172 6505758 13011516