Search a number
-
+
13340624 = 2411229331
BaseRepresentation
bin110010111000…
…111111010000
3221002202220012
4302320333100
511403344444
61153534052
7221251643
oct62707720
927082805
1013340624
117592010
124574328
1329c127b
141ab3a5a
151287b9e
hexcb8fd0

13340624 has 40 divisors (see below), whose sum is σ = 28405920. Its totient is φ = 6019200.

The previous prime is 13340623. The next prime is 13340627. The reversal of 13340624 is 42604331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13340624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40139 + ... + 40469.

It is an arithmetic number, because the mean of its divisors is an integer number (710148).

Almost surely, 213340624 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 13340624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202960).

13340624 is an abundant number, since it is smaller than the sum of its proper divisors (15065296).

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

13340624 is a wasteful number, since it uses less digits than its factorization.

13340624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 13340624 is about 3652.4818959168. The cubic root of 13340624 is about 237.1694326299.

Adding to 13340624 its reverse (42604331), we get a palindrome (55944955).

The spelling of 13340624 in words is "thirteen million, three hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 331 458 662 916 1324 1832 2519 2648 3641 3664 5038 5296 7282 10076 14564 20152 29128 40304 58256 75799 151598 303196 606392 833789 1212784 1667578 3335156 6670312 13340624