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13143840 = 2535139197
BaseRepresentation
bin110010001000…
…111100100000
3220201202221220
4302020330200
511331100330
61145415040
7216502143
oct62107440
926652856
1013143840
117468186
12449a480
132952828
141a6205a
151249710
hexc88f20

13143840 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 3462144.

The previous prime is 13143827. The next prime is 13143847. The reversal of 13143840 is 4834131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13143840.

It is not an unprimeable number, because it can be changed into a prime (13143847) 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, 66622 + ... + 66818.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 213143840 is an apocalyptic number.

13143840 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 13143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

13143840 is an abundant number, since it is smaller than the sum of its proper divisors (28768800).

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

13143840 is a wasteful number, since it uses less digits than its factorization.

13143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13143840 is about 3625.4434211555. The cubic root of 13143840 is about 235.9975102677.

Adding to 13143840 its reverse (4834131), we get a palindrome (17977971).

The spelling of 13143840 in words is "thirteen million, one hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 197 240 278 394 417 480 556 591 695 788 834 985 1112 1182 1390 1576 1668 1970 2085 2224 2364 2780 2955 3152 3336 3940 4170 4448 4728 5560 5910 6304 6672 7880 8340 9456 11120 11820 13344 15760 16680 18912 22240 23640 27383 31520 33360 47280 54766 66720 82149 94560 109532 136915 164298 219064 273830 328596 410745 438128 547660 657192 821490 876256 1095320 1314384 1642980 2190640 2628768 3285960 4381280 6571920 13143840