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13181696 = 281131151
BaseRepresentation
bin110010010010…
…001100000000
3220210200212222
4302102030000
511333303241
61150310212
7220020413
oct62221400
926720788
1013181696
117493670
1244b8368
132966b28
141a71b7a
151255a4b
hexc92300

13181696 has 72 divisors (see below), whose sum is σ = 29826048. Its totient is φ = 5760000.

The previous prime is 13181677. The next prime is 13181699. The reversal of 13181696 is 69618131.

It is not an unprimeable number, because it can be changed into a prime (13181699) 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 7 ways as a sum of consecutive naturals, for example, 87221 + ... + 87371.

Almost surely, 213181696 is an apocalyptic number.

13181696 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 13181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913024).

13181696 is an abundant number, since it is smaller than the sum of its proper divisors (16644352).

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

13181696 is a wasteful number, since it uses less digits than its factorization.

13181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 13181696 is about 3630.6605459613. The cubic root of 13181696 is about 236.2238611283.

The spelling of 13181696 in words is "thirteen million, one hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 151 176 248 256 302 341 352 496 604 682 704 992 1208 1364 1408 1661 1984 2416 2728 2816 3322 3968 4681 4832 5456 6644 7936 9362 9664 10912 13288 18724 19328 21824 26576 37448 38656 43648 51491 53152 74896 87296 102982 106304 149792 205964 212608 299584 411928 425216 599168 823856 1198336 1647712 3295424 6590848 13181696