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9022720 = 28571953
BaseRepresentation
bin100010011010…
…110100000000
3121222101211211
4202122310000
54302211340
6521215504
7136456210
oct42326400
917871754
109022720
1151029a3
123031594
131b3bab5
1412ac240
15bd35ea
hex89ad00

9022720 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 2875392.

The previous prime is 9022679. The next prime is 9022723. The reversal of 9022720 is 272209.

9022720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9022691 and 9022700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9022723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170214 + ... + 170266.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 29022720 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 9022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

9022720 is an abundant number, since it is smaller than the sum of its proper divisors (17467520).

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

9022720 is a wasteful number, since it uses less digits than its factorization.

9022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 9022720 is about 3003.7842798710. The cubic root of 9022720 is about 208.1832704242.

Adding to 9022720 its reverse (272209), we get a palindrome (9294929).

The spelling of 9022720 in words is "nine million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 53 56 64 70 76 80 95 106 112 128 133 140 152 160 190 212 224 256 265 266 280 304 320 371 380 424 448 530 532 560 608 640 665 742 760 848 896 1007 1060 1064 1120 1216 1280 1330 1484 1520 1696 1792 1855 2014 2120 2128 2240 2432 2660 2968 3040 3392 3710 4028 4240 4256 4480 4864 5035 5320 5936 6080 6784 7049 7420 8056 8480 8512 8960 10070 10640 11872 12160 13568 14098 14840 16112 16960 17024 20140 21280 23744 24320 28196 29680 32224 33920 34048 35245 40280 42560 47488 56392 59360 64448 67840 70490 80560 85120 94976 112784 118720 128896 140980 161120 170240 225568 237440 257792 281960 322240 451136 474880 563920 644480 902272 1127840 1288960 1804544 2255680 4511360 9022720