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13794378 = 231317101103
BaseRepresentation
bin110100100111…
…110001001010
3221221211022220
4310213301022
512012410003
61211354510
7225151563
oct64476112
927854286
1013794378
117871a14
124752a36
132b1c970
141b9116a
151327353
hexd27c4a

13794378 has 64 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 3916800.

The previous prime is 13794373. The next prime is 13794379. The reversal of 13794378 is 87349731.

13794378 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

13794378 is a nontrivial binomial coefficient, being equal to C(5253, 2).

It is not an unprimeable number, because it can be changed into a prime (13794373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133875 + ... + 133977.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 213794378 is an apocalyptic number.

13794378 is the 5252-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13794378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

13794378 is an abundant number, since it is smaller than the sum of its proper divisors (18284214).

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

13794378 is a wasteful number, since it uses less digits than its factorization.

13794378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239.

The product of its digits is 127008, while the sum is 42.

The square root of 13794378 is about 3714.0783513545. The cubic root of 13794378 is about 239.8284538010.

The spelling of 13794378 in words is "thirteen million, seven hundred ninety-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 101 102 103 202 206 221 303 309 442 606 618 663 1313 1326 1339 1717 1751 2626 2678 3434 3502 3939 4017 5151 5253 7878 8034 10302 10403 10506 20806 22321 22763 31209 44642 45526 62418 66963 68289 133926 135239 136578 176851 270478 353702 405717 530553 811434 1061106 2299063 4598126 6897189 13794378