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13784004 = 22321329453
BaseRepresentation
bin110100100101…
…001111000100
3221221022002200
4310211033010
512012042004
61211234500
7225106413
oct64451704
927838080
1013784004
117865143
124748a30
132b18020
141b8b47a
151324239
hexd253c4

13784004 has 36 divisors (see below), whose sum is σ = 37524396. Its totient is φ = 4241088.

The previous prime is 13784003. The next prime is 13784009. The reversal of 13784004 is 40048731.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 9622404 = 2040^2 + 3102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13784003) 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 in 11 ways as a sum of consecutive naturals, for example, 14259 + ... + 15194.

Almost surely, 213784004 is an apocalyptic number.

It is an amenable number.

13784004 is an abundant number, since it is smaller than the sum of its proper divisors (23740392).

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

13784004 is a wasteful number, since it uses less digits than its factorization.

13784004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29476 (or 29471 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13784004 is about 3712.6815107143. The cubic root of 13784004 is about 239.7683180865.

The spelling of 13784004 in words is "thirteen million, seven hundred eighty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 29453 58906 88359 117812 176718 265077 353436 382889 530154 765778 1060308 1148667 1531556 2297334 3446001 4594668 6892002 13784004