Search a number
-
+
7180530 = 2357311103
BaseRepresentation
bin11011011001000011110010
3111111210211120
4123121003302
53314234110
6413523110
7115014330
oct33310362
914453746
107180530
114064925
1224a3496
131645446
14d4cb50
1596c870
hex6d90f2

7180530 has 64 divisors (see below), whose sum is σ = 20348928. Its totient is φ = 1586880.

The previous prime is 7180513. The next prime is 7180543. The reversal of 7180530 is 350817.

7180530 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71805302 = 103120022161800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7180530.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5959 + ... + 7061.

It is an arithmetic number, because the mean of its divisors is an integer number (317952).

Almost surely, 27180530 is an apocalyptic number.

7180530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7180530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174464).

7180530 is an abundant number, since it is smaller than the sum of its proper divisors (13168398).

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

7180530 is a wasteful number, since it uses less digits than its factorization.

7180530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 7180530 is about 2679.6510966915. The cubic root of 7180530 is about 192.9236635119.

It can be divided in two parts, 71 and 80530, that added together give a triangular number (80601 = T401).

The spelling of 7180530 in words is "seven million, one hundred eighty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1103 1302 2170 2206 3255 3309 5515 6510 6618 7721 11030 15442 16545 23163 33090 34193 38605 46326 68386 77210 102579 115815 170965 205158 231630 239351 341930 478702 512895 718053 1025790 1196755 1436106 2393510 3590265 7180530