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5220320 = 25575979
BaseRepresentation
bin10011111010011111100000
3100211012221012
4103322133200
52314022240
6303520052
762241410
oct23723740
910735835
105220320
112a46116
1218b9028
13110a161
1499c640
156d1b65
hex4fa7e0

5220320 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1737216.

The previous prime is 5220283. The next prime is 5220323. The reversal of 5220320 is 230225.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 5220295 and 5220304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5220323) 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 15 ways as a sum of consecutive naturals, for example, 66041 + ... + 66119.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 25220320 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 5220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5220320 is an abundant number, since it is smaller than the sum of its proper divisors (9294880).

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

5220320 is a wasteful number, since it uses less digits than its factorization.

5220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5220320 is about 2284.8019607835. The cubic root of 5220320 is about 173.4731941523.

Adding to 5220320 its reverse (230225), we get a palindrome (5450545).

The spelling of 5220320 in words is "five million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 79 80 112 118 140 158 160 224 236 280 295 316 395 413 472 553 560 590 632 790 826 944 1106 1120 1180 1264 1580 1652 1888 2065 2212 2360 2528 2765 3160 3304 4130 4424 4661 4720 5530 6320 6608 8260 8848 9322 9440 11060 12640 13216 16520 17696 18644 22120 23305 32627 33040 37288 44240 46610 65254 66080 74576 88480 93220 130508 149152 163135 186440 261016 326270 372880 522032 652540 745760 1044064 1305080 2610160 5220320