Search a number
-
+
12916314 = 2331912589
BaseRepresentation
bin110001010001…
…011001011010
3220022012212000
4301101121122
511301310224
61140501430
7214533615
oct61213132
926265760
1012916314
117322244
1243aa876
1328a30b8
141a0317c
1512020c9
hexc5165a

12916314 has 32 divisors (see below), whose sum is σ = 30216000. Its totient is φ = 4078512.

The previous prime is 12916313. The next prime is 12916331. The reversal of 12916314 is 41361921.

12916314 is a `hidden beast` number, since 1 + 29 + 1 + 631 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12916313) 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 15 ways as a sum of consecutive naturals, for example, 5269 + ... + 7320.

It is an arithmetic number, because the mean of its divisors is an integer number (944250).

Almost surely, 212916314 is an apocalyptic number.

12916314 is an abundant number, since it is smaller than the sum of its proper divisors (17299686).

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

12916314 is a wasteful number, since it uses less digits than its factorization.

12916314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12613 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 12916314 is about 3593.9273782312. The cubic root of 12916314 is about 234.6278340350.

The spelling of 12916314 in words is "twelve million, nine hundred sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 12589 25178 37767 75534 113301 226602 239191 339903 478382 679806 717573 1435146 2152719 4305438 6458157 12916314