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7020320 = 255172989
BaseRepresentation
bin11010110001111100100000
3111012200001212
4122301330200
53244122240
6410245252
7113446256
oct32617440
914180055
107020320
113a6551a
122426828
1315ba548
14d0a5d6
1593a165
hex6b1f20

7020320 has 96 divisors (see below), whose sum is σ = 18370800. Its totient is φ = 2523136.

The previous prime is 7020319. The next prime is 7020323. The reversal of 7020320 is 230207.

7020320 = T28 + T29 + ... + T347.

It can be written as a sum of positive squares in 8 ways, for example, as 2972176 + 4048144 = 1724^2 + 2012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7020295 and 7020304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7020323) 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 15 ways as a sum of consecutive naturals, for example, 78836 + ... + 78924.

Almost surely, 27020320 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 7020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185400).

7020320 is an abundant number, since it is smaller than the sum of its proper divisors (11350480).

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

7020320 is a wasteful number, since it uses less digits than its factorization.

7020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 7020320 is about 2649.5886473187. The cubic root of 7020320 is about 191.4780383253.

Adding to 7020320 its reverse (230207), we get a palindrome (7250527).

The spelling of 7020320 in words is "seven million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 89 116 136 145 160 170 178 232 272 290 340 356 445 464 493 544 580 680 712 890 928 986 1160 1360 1424 1513 1780 1972 2320 2465 2581 2720 2848 3026 3560 3944 4640 4930 5162 6052 7120 7565 7888 9860 10324 12104 12905 14240 15130 15776 19720 20648 24208 25810 30260 39440 41296 43877 48416 51620 60520 78880 82592 87754 103240 121040 175508 206480 219385 242080 351016 412960 438770 702032 877540 1404064 1755080 3510160 7020320