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13771056 = 2431329761
BaseRepresentation
bin110100100010…
…000100110000
3221220122100010
4310202010300
512011133211
61211054520
7225023565
oct64420460
927818303
1013771056
117856442
124741440
132b12170
141b8686c
1513204a6
hexd22130

13771056 has 80 divisors (see below), whose sum is σ = 39684960. Its totient is φ = 4085760.

The previous prime is 13771033. The next prime is 13771057. The reversal of 13771056 is 65017731.

It is not an unprimeable number, because it can be changed into a prime (13771057) 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, 17716 + ... + 18476.

It is an arithmetic number, because the mean of its divisors is an integer number (496062).

Almost surely, 213771056 is an apocalyptic number.

13771056 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 13771056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

13771056 is an abundant number, since it is smaller than the sum of its proper divisors (25913904).

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

13771056 is a wasteful number, since it uses less digits than its factorization.

13771056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 13771056 is about 3710.9373478947. The cubic root of 13771056 is about 239.6932191344.

Adding to 13771056 its reverse (65017731), we get a palindrome (78788787).

The spelling of 13771056 in words is "thirteen million, seven hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 761 1131 1392 1508 1522 2262 2283 3016 3044 4524 4566 6032 6088 9048 9132 9893 12176 18096 18264 19786 22069 29679 36528 39572 44138 59358 66207 79144 88276 118716 132414 158288 176552 237432 264828 286897 353104 474864 529656 573794 860691 1059312 1147588 1721382 2295176 3442764 4590352 6885528 13771056