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8102020 = 2252961229
BaseRepresentation
bin11110111010000010000100
3120020121212211
4132322002010
54033231040
6445353204
7125603023
oct36720204
916217784
108102020
114634193
122868804
1318a89c4
14110c8ba
15aa08ea
hex7ba084

8102020 has 48 divisors (see below), whose sum is σ = 17967600. Its totient is φ = 3064320.

The previous prime is 8102009. The next prime is 8102041. The reversal of 8102020 is 202018.

It can be written as a sum of positive squares in 8 ways, for example, as 81796 + 8020224 = 286^2 + 2832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35266 + ... + 35494.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 28102020 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 8102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983800).

8102020 is an abundant number, since it is smaller than the sum of its proper divisors (9865580).

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

8102020 is a wasteful number, since it uses less digits than its factorization.

8102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8102020 is about 2846.4047498555. The cubic root of 8102020 is about 200.8465781378.

Adding to 8102020 its reverse (202018), we get a palindrome (8304038).

The spelling of 8102020 in words is "eight million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 229 244 290 305 458 580 610 916 1145 1220 1769 2290 3538 4580 6641 7076 8845 13282 13969 17690 26564 27938 33205 35380 55876 66410 69845 132820 139690 279380 405101 810202 1620404 2025505 4051010 8102020