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8020818 = 23213151227
BaseRepresentation
bin11110100110001101010010
3120002111111100
4132212031102
54023131233
6443525230
7125114211
oct36461522
916074440
108020818
114589183
122829816
13187aa60
1410cb078
15a86813
hex7a6352

8020818 has 48 divisors (see below), whose sum is σ = 18922176. Its totient is φ = 2440800.

The previous prime is 8020801. The next prime is 8020867. The reversal of 8020818 is 8180208.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8020791 and 8020800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35221 + ... + 35447.

It is an arithmetic number, because the mean of its divisors is an integer number (394212).

Almost surely, 28020818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461088).

8020818 is an abundant number, since it is smaller than the sum of its proper divisors (10901358).

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

8020818 is a wasteful number, since it uses less digits than its factorization.

8020818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8020818 is about 2832.1048709396. The cubic root of 8020818 is about 200.1733330682.

The spelling of 8020818 in words is "eight million, twenty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 227 234 302 453 454 681 906 1359 1362 1963 2043 2718 2951 3926 4086 5889 5902 8853 11778 17667 17706 26559 34277 35334 53118 68554 102831 205662 308493 445601 616986 891202 1336803 2673606 4010409 8020818