Search a number
-
+
7130214 = 2337131451
BaseRepresentation
bin11011001100110001100110
3111102020211000
4123030301212
53311131324
6412454130
7114414540
oct33146146
914366730
107130214
114030043
12247a346
131628580
14d38690
1595c9c9
hex6ccc66

7130214 has 64 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 1879200.

The previous prime is 7130213. The next prime is 7130231. The reversal of 7130214 is 4120317.

7130214 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130213) 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, 4189 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 27130214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7130214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

7130214 is an abundant number, since it is smaller than the sum of its proper divisors (12384666).

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

7130214 is a wasteful number, since it uses less digits than its factorization.

7130214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7130214 is about 2670.2460560780. The cubic root of 7130214 is about 192.4719833292.

The spelling of 7130214 in words is "seven million, one hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1451 1638 2457 2902 4353 4914 8706 10157 13059 18863 20314 26118 30471 37726 39177 56589 60942 78354 91413 113178 132041 169767 182826 264082 274239 339534 396123 509301 548478 792246 1018602 1188369 2376738 3565107 7130214