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8021819 = 131947691
BaseRepresentation
bin11110100110011100111011
3120002112212102
4132212130323
54023144234
6443534015
7125120141
oct36463473
916075772
108021819
114589a03
12282a30b
13187b350
1410cb591
15a86c7e
hex7a673b

8021819 has 16 divisors (see below), whose sum is σ = 9300480. Its totient is φ = 6855840.

The previous prime is 8021801. The next prime is 8021821. The reversal of 8021819 is 9181208.

It is a cyclic number.

It is not a de Polignac number, because 8021819 - 216 = 7956283 is a prime.

It is a super-2 number, since 2×80218192 = 128699160137522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8021791 and 8021800.

It is not an unprimeable number, because it can be changed into a prime (8021869) 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, 11264 + ... + 11954.

It is an arithmetic number, because the mean of its divisors is an integer number (581280).

Almost surely, 28021819 is an apocalyptic number.

8021819 is a deficient number, since it is larger than the sum of its proper divisors (1278661).

8021819 is a wasteful number, since it uses less digits than its factorization.

8021819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770.

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 8021819 is about 2832.2815891080. The cubic root of 8021819 is about 200.1816599484.

The spelling of 8021819 in words is "eight million, twenty-one thousand, eight hundred nineteen".

Divisors: 1 13 19 47 247 611 691 893 8983 11609 13129 32477 170677 422201 617063 8021819