Search a number
-
+
12727314 = 233534447
BaseRepresentation
bin110000100011…
…010000010010
3212221121121000
4300203100102
511224233224
61132442430
7213115605
oct60432022
925847530
1012727314
117203246
124319416
132838072
14199433c
1511b60c9
hexc23412

12727314 has 32 divisors (see below), whose sum is σ = 28823040. Its totient is φ = 4161456.

The previous prime is 12727301. The next prime is 12727327. The reversal of 12727314 is 41372721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12727301) and next prime (12727327).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (900720).

Almost surely, 212727314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12727314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411520).

12727314 is an abundant number, since it is smaller than the sum of its proper divisors (16095726).

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

12727314 is a wasteful number, since it uses less digits than its factorization.

12727314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4505 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12727314 is about 3567.5361245543. The cubic root of 12727314 is about 233.4777967079.

It can be divided in two parts, 12727 and 314, that added together give a triangular number (13041 = T161).

The spelling of 12727314 in words is "twelve million, seven hundred twenty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 4447 8894 13341 26682 40023 80046 120069 235691 240138 471382 707073 1414146 2121219 4242438 6363657 12727314