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13040256 = 273291171
BaseRepresentation
bin110001101111…
…101010000000
3220112111212110
4301233222000
511314242011
61143255320
7215561145
oct61575200
926474773
1013040256
1173a7379
12444a540
132917638
141a363cc
151228ba6
hexc6fa80

13040256 has 64 divisors (see below), whose sum is σ = 35863200. Its totient is φ = 4193280.

The previous prime is 13040231. The next prime is 13040257. The reversal of 13040256 is 65204031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13040257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10551 + ... + 11721.

Almost surely, 213040256 is an apocalyptic number.

13040256 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 13040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17931600).

13040256 is an abundant number, since it is smaller than the sum of its proper divisors (22822944).

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

13040256 is a wasteful number, since it uses less digits than its factorization.

13040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13040256 is about 3611.1294632012. The cubic root of 13040256 is about 235.3759246521.

Adding to 13040256 its reverse (65204031), we get a palindrome (78244287).

It can be divided in two parts, 1304025 and 6, that added together give a palindrome (1304031).

The spelling of 13040256 in words is "thirteen million, forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1171 1392 1856 2342 2784 3513 3712 4684 5568 7026 9368 11136 14052 18736 28104 33959 37472 56208 67918 74944 101877 112416 135836 149888 203754 224832 271672 407508 449664 543344 815016 1086688 1630032 2173376 3260064 4346752 6520128 13040256