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13687424 = 27611753
BaseRepresentation
bin110100001101…
…101010000000
3221202101121122
4310031222000
512000444144
61205211412
7224225012
oct64155200
927671548
1013687424
1177a9623
124700b68
132ab308a
141b641b2
1513057ee
hexd0da80

13687424 has 32 divisors (see below), whose sum is σ = 27730740. Its totient is φ = 6727680.

The previous prime is 13687423. The next prime is 13687439. The reversal of 13687424 is 42478631.

It can be written as a sum of positive squares in 2 ways, for example, as 9193024 + 4494400 = 3032^2 + 2120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13687423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6932 + ... + 8684.

Almost surely, 213687424 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 13687424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865370).

13687424 is an abundant number, since it is smaller than the sum of its proper divisors (14043316).

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

13687424 is an equidigital number, since it uses as much as digits as its factorization.

13687424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 13687424 is about 3699.6518755148. The cubic root of 13687424 is about 239.2070123931.

The spelling of 13687424 in words is "thirteen million, six hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1753 1952 3506 3904 7012 7808 14024 28048 56096 106933 112192 213866 224384 427732 855464 1710928 3421856 6843712 13687424