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13280256 = 2103211131
BaseRepresentation
bin110010101010…
…010000000000
3220222201002100
4302222100000
511344432011
61152350400
7220610643
oct62522000
926881070
1013280256
117550720
124545400
13299c952
141a99a5a
151274d56
hexcaa400

13280256 has 132 divisors (see below), whose sum is σ = 42151824. Its totient is φ = 3993600.

The previous prime is 13280237. The next prime is 13280257. The reversal of 13280256 is 65208231.

It is a tau number, because it is divible by the number of its divisors (132).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13280257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101311 + ... + 101441.

It is an arithmetic number, because the mean of its divisors is an integer number (319332).

Almost surely, 213280256 is an apocalyptic number.

13280256 is a gapful number since it is divisible by the number (16) 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 13280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21075912).

13280256 is an abundant number, since it is smaller than the sum of its proper divisors (28871568).

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

13280256 is a wasteful number, since it uses less digits than its factorization.

13280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13280256 is about 3644.2085560516. The cubic root of 13280256 is about 236.8111511671.

Adding to 13280256 its reverse (65208231), we get a palindrome (78488487).

The spelling of 13280256 in words is "thirteen million, two hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 131 132 144 176 192 198 256 262 264 288 352 384 393 396 512 524 528 576 704 768 786 792 1024 1048 1056 1152 1179 1408 1441 1536 1572 1584 2096 2112 2304 2358 2816 2882 3072 3144 3168 4192 4224 4323 4608 4716 5632 5764 6288 6336 8384 8448 8646 9216 9432 11264 11528 12576 12672 12969 16768 16896 17292 18864 23056 25152 25344 25938 33536 33792 34584 37728 46112 50304 50688 51876 67072 69168 75456 92224 100608 101376 103752 134144 138336 150912 184448 201216 207504 276672 301824 368896 402432 415008 553344 603648 737792 830016 1106688 1207296 1475584 1660032 2213376 3320064 4426752 6640128 13280256