Search a number
-
+
13062624 = 253136069
BaseRepresentation
bin110001110101…
…000111100000
3220120122112220
4301311013200
511321000444
61143551040
7216013311
oct61650740
926518486
1013062624
117412163
12445b480
132924883
141a40608
151230619
hexc751e0

13062624 has 24 divisors (see below), whose sum is σ = 34289640. Its totient is φ = 4354176.

The previous prime is 13062617. The next prime is 13062629. The reversal of 13062624 is 42626031.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13062594 and 13062603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13062629) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 67939 + ... + 68130.

It is an arithmetic number, because the mean of its divisors is an integer number (1428735).

Almost surely, 213062624 is an apocalyptic number.

It is an amenable number.

13062624 is an abundant number, since it is smaller than the sum of its proper divisors (21227016).

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

13062624 is a wasteful number, since it uses less digits than its factorization.

13062624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136082 (or 136074 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13062624 is about 3614.2252281782. The cubic root of 13062624 is about 235.5104281786.

Adding to 13062624 its reverse (42626031), we get a palindrome (55688655).

The spelling of 13062624 in words is "thirteen million, sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 136069 272138 408207 544276 816414 1088552 1632828 2177104 3265656 4354208 6531312 13062624