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8020506 = 2313312107
BaseRepresentation
bin11110100110001000011010
3120002111001210
4132212020122
54023124011
6443523550
7125113254
oct36461032
916074053
108020506
114588a1a
1228295b6
13187a880
1410cacd4
15a866a6
hex7a621a

8020506 has 48 divisors (see below), whose sum is σ = 18016992. Its totient is φ = 2365920.

The previous prime is 8020499. The next prime is 8020517. The reversal of 8020506 is 6050208.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74905 + ... + 75011.

It is an arithmetic number, because the mean of its divisors is an integer number (375354).

Almost surely, 28020506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008496).

8020506 is an abundant number, since it is smaller than the sum of its proper divisors (9996486).

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

8020506 is a wasteful number, since it uses less digits than its factorization.

8020506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8020506 is about 2832.0497876979. The cubic root of 8020506 is about 200.1707375353.

The spelling of 8020506 in words is "eight million, twenty thousand, five hundred six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 107 186 214 321 403 642 806 961 1209 1391 1922 2418 2782 2883 3317 4173 5766 6634 8346 9951 12493 19902 24986 37479 43121 74958 86242 102827 129363 205654 258726 308481 616962 1336751 2673502 4010253 8020506