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13443040 = 2551323281
BaseRepresentation
bin110011010001…
…111111100000
3221021222101101
4303101333200
511420134130
61200044144
7222156352
oct63217740
927258341
1013443040
117651a56
124603654
132a28a80
141add0d2
1512a81ca
hexcd1fe0

13443040 has 96 divisors (see below), whose sum is σ = 35816256. Its totient is φ = 4730880.

The previous prime is 13443011. The next prime is 13443049. The reversal of 13443040 is 4034431.

It is a junction number, because it is equal to n+sod(n) for n = 13442999 and 13443017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443049) 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 15 ways as a sum of consecutive naturals, for example, 47700 + ... + 47980.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 213443040 is an apocalyptic number.

13443040 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 13443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908128).

13443040 is an abundant number, since it is smaller than the sum of its proper divisors (22373216).

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

13443040 is a wasteful number, since it uses less digits than its factorization.

13443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 13443040 is about 3666.4751465133. The cubic root of 13443040 is about 237.7748028729.

Adding to 13443040 its reverse (4034431), we get a palindrome (17477471).

The spelling of 13443040 in words is "thirteen million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 281 299 368 416 460 520 562 598 736 920 1040 1124 1196 1405 1495 1840 2080 2248 2392 2810 2990 3653 3680 4496 4784 5620 5980 6463 7306 8992 9568 11240 11960 12926 14612 18265 22480 23920 25852 29224 32315 36530 44960 47840 51704 58448 64630 73060 84019 103408 116896 129260 146120 168038 206816 258520 292240 336076 420095 517040 584480 672152 840190 1034080 1344304 1680380 2688608 3360760 6721520 13443040