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8105020 = 22571119277
BaseRepresentation
bin11110111010110000111100
3120020202222221
4132322300330
54033330040
6445415124
7125614540
oct36726074
916222887
108105020
114636470
12286a4a4
1318aa191
14110da20
15aa174a
hex7bac3c

8105020 has 96 divisors (see below), whose sum is σ = 22417920. Its totient is φ = 2384640.

The previous prime is 8105017. The next prime is 8105021. The reversal of 8105020 is 205018.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8104985 and 8105003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8105021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29122 + ... + 29398.

It is an arithmetic number, because the mean of its divisors is an integer number (233520).

Almost surely, 28105020 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 8105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208960).

8105020 is an abundant number, since it is smaller than the sum of its proper divisors (14312900).

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

8105020 is a wasteful number, since it uses less digits than its factorization.

8105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 8105020 is about 2846.9316816531. The cubic root of 8105020 is about 200.8713647705.

The spelling of 8105020 in words is "eight million, one hundred five thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 277 308 380 385 418 532 554 665 770 836 1045 1108 1330 1385 1463 1540 1939 2090 2660 2770 2926 3047 3878 4180 5263 5540 5852 6094 7315 7756 9695 10526 12188 14630 15235 19390 21052 21329 26315 29260 30470 36841 38780 42658 52630 57893 60940 73682 85316 105260 106645 115786 147364 184205 213290 231572 289465 368410 405251 426580 578930 736820 810502 1157860 1621004 2026255 4052510 8105020