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8242320 = 243561563
BaseRepresentation
bin11111011100010010010000
3120111202100010
4133130102100
54102223240
6452354520
7130026042
oct37342220
916452303
108242320
11471a639
122915a40
131927818
141147a92
15acc280
hex7dc490

8242320 has 80 divisors (see below), whose sum is σ = 26016192. Its totient is φ = 2158080.

The previous prime is 8242309. The next prime is 8242327. The reversal of 8242320 is 232428.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242327) 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, 14359 + ... + 14921.

Almost surely, 28242320 is an apocalyptic number.

8242320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008096).

8242320 is an abundant number, since it is smaller than the sum of its proper divisors (17773872).

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

8242320 is a wasteful number, since it uses less digits than its factorization.

8242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 8242320 is about 2870.9440955895. The cubic root of 8242320 is about 201.9992811137. Note that the first 3 decimals are identical.

Adding to 8242320 its reverse (232428), we get a palindrome (8474748).

The spelling of 8242320 in words is "eight million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 563 610 732 915 976 1126 1220 1464 1689 1830 2252 2440 2815 2928 3378 3660 4504 4880 5630 6756 7320 8445 9008 11260 13512 14640 16890 22520 27024 33780 34343 45040 67560 68686 103029 135120 137372 171715 206058 274744 343430 412116 515145 549488 686860 824232 1030290 1373720 1648464 2060580 2747440 4121160 8242320