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13677648 = 243674253
BaseRepresentation
bin110100001011…
…010001010000
3221201220012120
4310023101100
512000141043
61205054240
7224154345
oct64132120
927656176
1013677648
1177a2246
1246b7380
132aab7aa
141b607cc
151302983
hexd0b450

13677648 has 40 divisors (see below), whose sum is σ = 35869728. Its totient is φ = 4490112.

The previous prime is 13677637. The next prime is 13677649. The reversal of 13677648 is 84677631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 5342.

Almost surely, 213677648 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 13677648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17934864).

13677648 is an abundant number, since it is smaller than the sum of its proper divisors (22192080).

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

13677648 is a wasteful number, since it uses less digits than its factorization.

13677648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4325 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 13677648 is about 3698.3304341284. The cubic root of 13677648 is about 239.1500490396.

The spelling of 13677648 in words is "thirteen million, six hundred seventy-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 4253 8506 12759 17012 25518 34024 51036 68048 102072 204144 284951 569902 854853 1139804 1709706 2279608 3419412 4559216 6838824 13677648