Search a number
-
+
13144124 = 2271931797
BaseRepresentation
bin110010001001…
…000000111100
3220201210100102
4302021000330
511331102444
61145420232
7216503030
oct62110074
926653312
1013144124
117468414
12449a678
1329529b6
141a621c0
15124984e
hexc8903c

13144124 has 48 divisors (see below), whose sum is σ = 28600320. Its totient is φ = 5158080.

The previous prime is 13144123. The next prime is 13144141. The reversal of 13144124 is 42144131.

It is a junction number, because it is equal to n+sod(n) for n = 13144096 and 13144105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16094 + ... + 16890.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 213144124 is an apocalyptic number.

13144124 is a gapful number since it is divisible by the number (14) 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 13144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300160).

13144124 is an abundant number, since it is smaller than the sum of its proper divisors (15456196).

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

13144124 is a wasteful number, since it uses less digits than its factorization.

13144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 856 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 13144124 is about 3625.4825885667. The cubic root of 13144124 is about 235.9992099945. Note that the first 3 decimals are identical.

Adding to 13144124 its reverse (42144131), we get a palindrome (55288255).

The spelling of 13144124 in words is "thirteen million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 797 868 1178 1594 2356 3188 4123 5579 8246 11158 15143 16492 22316 24707 30286 49414 60572 98828 106001 172949 212002 345898 424004 469433 691796 938866 1877732 3286031 6572062 13144124