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820023 = 3614481
BaseRepresentation
bin11001000001100110111
31112122212020
43020030313
5202220043
625324223
76653511
oct3101467
91478766
10820023
11510106
12336673
13229329
14174bb1
15112e83
hexc8337

820023 has 8 divisors (see below), whose sum is σ = 1111536. Its totient is φ = 537600.

The previous prime is 819991. The next prime is 820037. The reversal of 820023 is 320028.

820023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820023 - 25 = 819991 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 819984 and 820011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2058 + ... + 2423.

It is an arithmetic number, because the mean of its divisors is an integer number (138942).

2820023 is an apocalyptic number.

820023 is a deficient number, since it is larger than the sum of its proper divisors (291513).

820023 is a wasteful number, since it uses less digits than its factorization.

820023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 820023 is about 905.5512133502. The cubic root of 820023 is about 93.5998913360.

The spelling of 820023 in words is "eight hundred twenty thousand, twenty-three".

Divisors: 1 3 61 183 4481 13443 273341 820023