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8242020 = 2233515263
BaseRepresentation
bin11111011100001101100100
3120111201221000
4133130031210
54102221040
6452353300
7130025133
oct37341544
916451830
108242020
11471a396
122915830
131927647
14114791a
15acc130
hex7dc364

8242020 has 48 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 2197728.

The previous prime is 8242007. The next prime is 8242021. The reversal of 8242020 is 202428.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8241984 and 8242002.

It is not an unprimeable number, because it can be changed into a prime (8242021) 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, 7092 + ... + 8171.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 28242020 is an apocalyptic number.

It is an amenable number.

8242020 is an abundant number, since it is smaller than the sum of its proper divisors (17401500).

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

8242020 is a wasteful number, since it uses less digits than its factorization.

8242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8242020 is about 2870.8918474927. The cubic root of 8242020 is about 201.9968303264.

Adding to 8242020 its reverse (202428), we get a palindrome (8444448).

The spelling of 8242020 in words is "eight million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 15263 30526 45789 61052 76315 91578 137367 152630 183156 228945 274734 305260 412101 457890 549468 686835 824202 915780 1373670 1648404 2060505 2747340 4121010 8242020