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13088384 = 27102253
BaseRepresentation
bin110001111011…
…011010000000
3220121221212222
4301323122000
511322312014
61144310212
7216151361
oct61733200
926557788
1013088384
11742a551
124472368
13293350a
141a49b68
15123808e
hexc7b680

13088384 has 16 divisors (see below), whose sum is σ = 26074770. Its totient is φ = 6544128.

The previous prime is 13088381. The next prime is 13088401. The reversal of 13088384 is 48388031.

It can be written as a sum of positive squares in only one way, i.e., 8248384 + 4840000 = 2872^2 + 2200^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (13088381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50999 + ... + 51254.

Almost surely, 213088384 is an apocalyptic number.

It is an amenable number.

13088384 is a deficient number, since it is larger than the sum of its proper divisors (12986386).

13088384 is an equidigital number, since it uses as much as digits as its factorization.

13088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102267 (or 102255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 13088384 is about 3617.7871689750. The cubic root of 13088384 is about 235.6651384175.

The spelling of 13088384 in words is "thirteen million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 102253 204506 409012 818024 1636048 3272096 6544192 13088384