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12984114 = 23111337409
BaseRepresentation
bin110001100001…
…111100110010
3220102122212010
4301201330302
511310442424
61142143350
7215235363
oct61417462
926378763
1012984114
117369180
124421b56
1328c7c10
141a1db6a
151217229
hexc61f32

12984114 has 64 divisors (see below), whose sum is σ = 31409280. Its totient is φ = 3525120.

The previous prime is 12984113. The next prime is 12984149. The reversal of 12984114 is 41148921.

12984114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12984113) 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, 31542 + ... + 31950.

It is an arithmetic number, because the mean of its divisors is an integer number (490770).

Almost surely, 212984114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12984114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704640).

12984114 is an abundant number, since it is smaller than the sum of its proper divisors (18425166).

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

12984114 is a wasteful number, since it uses less digits than its factorization.

12984114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its digits is 2304, while the sum is 30.

The square root of 12984114 is about 3603.3476102092. The cubic root of 12984114 is about 235.0376520325.

The spelling of 12984114 in words is "twelve million, nine hundred eighty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 286 407 409 429 481 814 818 858 962 1221 1227 1443 2442 2454 2886 4499 5291 5317 8998 10582 10634 13497 15133 15873 15951 26994 30266 31746 31902 45399 58487 90798 116974 166463 175461 196729 332926 350922 393458 499389 590187 998778 1180374 2164019 4328038 6492057 12984114