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13731172 = 22721317317
BaseRepresentation
bin110100011000…
…010101100100
3221211121121221
4310120111210
512003344142
61210150124
7224466400
oct64302544
927747557
1013731172
117829484
124722344
132ac9c70
141b76100
151313767
hexd18564

13731172 has 72 divisors (see below), whose sum is σ = 31974264. Its totient is φ = 5096448.

The previous prime is 13731169. The next prime is 13731173. The reversal of 13731172 is 27113731.

It can be written as a sum of positive squares in 4 ways, for example, as 70756 + 13660416 = 266^2 + 3696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43158 + ... + 43474.

It is an arithmetic number, because the mean of its divisors is an integer number (444087).

Almost surely, 213731172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13731172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987132).

13731172 is an abundant number, since it is smaller than the sum of its proper divisors (18243092).

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

13731172 is a wasteful number, since it uses less digits than its factorization.

13731172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 13731172 is about 3705.5596068610. The cubic root of 13731172 is about 239.4615939915.

The spelling of 13731172 in words is "thirteen million, seven hundred thirty-one thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 317 364 442 476 634 637 833 884 1268 1274 1547 1666 2219 2548 3094 3332 4121 4438 5389 6188 8242 8876 10778 10829 15533 16484 21556 21658 28847 31066 37723 43316 57694 62132 70057 75446 115388 140114 150892 201929 264061 280228 403858 490399 528122 807716 980798 1056244 1961596 3432793 6865586 13731172