Search a number
-
+
9053220 = 22351122943
BaseRepresentation
bin100010100010…
…010000100100
3122000221200110
4202202100210
54304200340
6522013020
7136644141
oct42422044
918027613
109053220
115123900
123047170
131b4c947
1412b93c8
15bdc680
hex8a2424

9053220 has 144 divisors (see below), whose sum is σ = 29494080. Its totient is φ = 2069760.

The previous prime is 9053201. The next prime is 9053227. The reversal of 9053220 is 223509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210519 + ... + 210561.

It is an arithmetic number, because the mean of its divisors is an integer number (204820).

Almost surely, 29053220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9053220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747040).

9053220 is an abundant number, since it is smaller than the sum of its proper divisors (20440860).

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

9053220 is a wasteful number, since it uses less digits than its factorization.

9053220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 9053220 is about 3008.8569258109. The cubic root of 9053220 is about 208.4175844127.

Adding to 9053220 its reverse (223509), we get a palindrome (9276729).

The spelling of 9053220 in words is "nine million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 43 44 55 58 60 66 86 87 110 116 121 129 132 145 165 172 174 215 220 242 258 290 319 330 348 363 430 435 473 484 516 580 605 638 645 660 726 860 870 946 957 1210 1247 1276 1290 1419 1452 1595 1740 1815 1892 1914 2365 2420 2494 2580 2838 3190 3509 3630 3741 3828 4730 4785 4988 5203 5676 6235 6380 7018 7095 7260 7482 9460 9570 10406 10527 12470 13717 14036 14190 14964 15609 17545 18705 19140 20812 21054 24940 26015 27434 28380 31218 35090 37410 41151 42108 52030 52635 54868 62436 68585 70180 74820 78045 82302 104060 105270 137170 150887 156090 164604 205755 210540 274340 301774 312180 411510 452661 603548 754435 823020 905322 1508870 1810644 2263305 3017740 4526610 9053220