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8020305 = 325374817
BaseRepresentation
bin11110100110000101010001
3120002110210100
4132212011101
54023122210
6443523013
7125112546
oct36460521
916073710
108020305
114588857
122829469
13187a757
1410cabcd
15a865c0
hex7a6151

8020305 has 24 divisors (see below), whose sum is σ = 14280552. Its totient is φ = 4161024.

The previous prime is 8020303. The next prime is 8020333. The reversal of 8020305 is 5030208.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 7273809 = 864^2 + 2697^2 .

It is not a de Polignac number, because 8020305 - 21 = 8020303 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8020303) by changing a digit.

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, 744 + ... + 4073.

It is an arithmetic number, because the mean of its divisors is an integer number (595023).

Almost surely, 28020305 is an apocalyptic number.

It is an amenable number.

8020305 is a deficient number, since it is larger than the sum of its proper divisors (6260247).

8020305 is a wasteful number, since it uses less digits than its factorization.

8020305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 8020305 is about 2832.0143008114. The cubic root of 8020305 is about 200.1690653776.

The spelling of 8020305 in words is "eight million, twenty thousand, three hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 4817 14451 24085 43353 72255 178229 216765 534687 891145 1604061 2673435 8020305