Search a number
-
+
9072030 = 2351137743
BaseRepresentation
bin100010100110…
…110110011110
3122001220111010
4202212312132
54310301110
6522240050
7140053032
oct42466636
918056433
109072030
115136a50
123056026
131b58386
1412c21c2
15be3020
hex8a6d9e

9072030 has 64 divisors (see below), whose sum is σ = 24427008. Its totient is φ = 2136960.

The previous prime is 9071989. The next prime is 9072031. The reversal of 9072030 is 302709.

It is a junction number, because it is equal to n+sod(n) for n = 9071988 and 9072006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9072031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11839 + ... + 12581.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 29072030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213504).

9072030 is an abundant number, since it is smaller than the sum of its proper divisors (15354978).

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

9072030 is a wasteful number, since it uses less digits than its factorization.

9072030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 9072030 is about 3011.9810756378. The cubic root of 9072030 is about 208.5618285889.

Adding to 9072030 its reverse (302709), we get a palindrome (9374739).

The spelling of 9072030 in words is "nine million, seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 743 814 1110 1221 1486 2035 2229 2442 3715 4070 4458 6105 7430 8173 11145 12210 16346 22290 24519 27491 40865 49038 54982 81730 82473 122595 137455 164946 245190 274910 302401 412365 604802 824730 907203 1512005 1814406 3024010 4536015 9072030