Search a number
-
+
13988624 = 2413109617
BaseRepresentation
bin110101010111…
…001100010000
3222022200210012
4311113030100
512040113444
61215454052
7226621106
oct65271420
928280705
1013988624
117994951
124827328
132b8a1c0
141c01c76
151364b9e
hexd57310

13988624 has 40 divisors (see below), whose sum is σ = 29503320. Its totient is φ = 6386688.

The previous prime is 13988599. The next prime is 13988629. The reversal of 13988624 is 42688931.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 13987600 = 32^2 + 3740^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13988629) 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 7 ways as a sum of consecutive naturals, for example, 22364 + ... + 22980.

It is an arithmetic number, because the mean of its divisors is an integer number (737583).

Almost surely, 213988624 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 13988624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751660).

13988624 is an abundant number, since it is smaller than the sum of its proper divisors (15514696).

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

13988624 is a wasteful number, since it uses less digits than its factorization.

13988624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 13988624 is about 3740.1368958903. The cubic root of 13988624 is about 240.9489283031.

The spelling of 13988624 in words is "thirteen million, nine hundred eighty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 617 872 1234 1417 1744 2468 2834 4936 5668 8021 9872 11336 16042 22672 32084 64168 67253 128336 134506 269012 538024 874289 1076048 1748578 3497156 6994312 13988624