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13144040 = 23571323157
BaseRepresentation
bin110010001000…
…111111101000
3220201210020022
4302020333220
511331102130
61145420012
7216502550
oct62107750
926653208
1013144040
117468348
12449a608
132952950
141a62160
1512497e5
hexc88fe8

13144040 has 128 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3953664.

The previous prime is 13144007. The next prime is 13144049. The reversal of 13144040 is 4044131.

13144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83642 + ... + 83798.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 213144040 is an apocalyptic number.

13144040 is a gapful number since it is divisible by the number (10) 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 13144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

13144040 is an abundant number, since it is smaller than the sum of its proper divisors (25079320).

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

13144040 is a wasteful number, since it uses less digits than its factorization.

13144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 13144040 is about 3625.4710038835. The cubic root of 13144040 is about 235.9987072609.

Adding to 13144040 its reverse (4044131), we get a palindrome (17188171).

Subtracting from 13144040 its reverse (4044131), we obtain a palindrome (9099909).

The spelling of 13144040 in words is "thirteen million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 157 161 182 184 230 260 280 299 314 322 364 455 460 520 598 628 644 728 785 805 910 920 1099 1196 1256 1288 1495 1570 1610 1820 2041 2093 2198 2392 2990 3140 3220 3611 3640 4082 4186 4396 5495 5980 6280 6440 7222 8164 8372 8792 10205 10465 10990 11960 14287 14444 16328 16744 18055 20410 20930 21980 25277 28574 28888 36110 40820 41860 43960 46943 50554 57148 71435 72220 81640 83720 93886 101108 114296 126385 142870 144440 187772 202216 234715 252770 285740 328601 375544 469430 505540 571480 657202 938860 1011080 1314404 1643005 1877720 2628808 3286010 6572020 13144040