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13027056 = 2437137283
BaseRepresentation
bin110001101100…
…011011110000
3220111211202120
4301230123300
511313331211
61143114240
7215504520
oct61543360
926454676
1013027056
117398469
124442980
132911623
141a31680
151224d06
hexc6c6f0

13027056 has 80 divisors (see below), whose sum is σ = 38878464. Its totient is φ = 3681792.

The previous prime is 13027051. The next prime is 13027067. The reversal of 13027056 is 65072031.

13027056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027051) 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, 45891 + ... + 46173.

Almost surely, 213027056 is an apocalyptic number.

13027056 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 13027056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19439232).

13027056 is an abundant number, since it is smaller than the sum of its proper divisors (25851408).

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

13027056 is a wasteful number, since it uses less digits than its factorization.

13027056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13027056 is about 3609.3013174297. The cubic root of 13027056 is about 235.2964780744.

Adding to 13027056 its reverse (65072031), we get a palindrome (78099087).

The spelling of 13027056 in words is "thirteen million, twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 283 336 411 548 566 822 849 959 1096 1132 1644 1698 1918 1981 2192 2264 2877 3288 3396 3836 3962 4528 5754 5943 6576 6792 7672 7924 11508 11886 13584 15344 15848 23016 23772 31696 38771 46032 47544 77542 95088 116313 155084 232626 271397 310168 465252 542794 620336 814191 930504 1085588 1628382 1861008 2171176 3256764 4342352 6513528 13027056