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8020033 = 719471283
BaseRepresentation
bin11110100110000001000001
3120002110102021
4132212001001
54023120113
6443521441
7125112010
oct36460101
916073367
108020033
11458862a
122829281
13187a5a8
1410caa77
15a8648d
hex7a6041

8020033 has 16 divisors (see below), whose sum is σ = 9861120. Its totient is φ = 6368976.

The previous prime is 8020027. The next prime is 8020043. The reversal of 8020033 is 3300208.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 8020033 - 213 = 8011841 is a prime.

It is a Duffinian number.

8020033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8019989 and 8020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5610 + ... + 6892.

It is an arithmetic number, because the mean of its divisors is an integer number (616320).

Almost surely, 28020033 is an apocalyptic number.

It is an amenable number.

8020033 is a deficient number, since it is larger than the sum of its proper divisors (1841087).

8020033 is a wasteful number, since it uses less digits than its factorization.

8020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 8020033 is about 2831.9662780478. The cubic root of 8020033 is about 200.1668025126.

The spelling of 8020033 in words is "eight million, twenty thousand, thirty-three".

Divisors: 1 7 19 47 133 329 893 1283 6251 8981 24377 60301 170639 422107 1145719 8020033