Search a number
-
+
7114068 = 223513563
BaseRepresentation
bin11011001000110101010100
3111101102200000
4123020311110
53310122233
6412251300
7114316503
oct33106524
914342600
107114068
1140199a5
122470b30
131621110
14d3283a
15957d13
hex6c8d54

7114068 has 72 divisors (see below), whose sum is σ = 20119008. Its totient is φ = 2185056.

The previous prime is 7114067. The next prime is 7114087. The reversal of 7114068 is 8604117.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7114067) 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 23 ways as a sum of consecutive naturals, for example, 12355 + ... + 12917.

Almost surely, 27114068 is an apocalyptic number.

7114068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7114068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059504).

7114068 is an abundant number, since it is smaller than the sum of its proper divisors (13004940).

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

7114068 is a wasteful number, since it uses less digits than its factorization.

7114068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7114068 is about 2667.2210257120. The cubic root of 7114068 is about 192.3265925875.

The spelling of 7114068 in words is "seven million, one hundred fourteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 563 702 972 1053 1126 1404 1689 2106 2252 3159 3378 4212 5067 6318 6756 7319 10134 12636 14638 15201 20268 21957 29276 30402 43914 45603 60804 65871 87828 91206 131742 136809 182412 197613 263484 273618 395226 547236 592839 790452 1185678 1778517 2371356 3557034 7114068