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10820023 = 31418513
BaseRepresentation
bin101001010001…
…100110110111
3202100201021121
4221101212313
510232220043
61023524411
7160653154
oct51214667
922321247
1010820023
116120275
123759707
13231aba6
14161922b
15e3aded
hexa519b7

10820023 has 8 divisors (see below), whose sum is σ = 11442816. Its totient is φ = 10214400.

The previous prime is 10820009. The next prime is 10820027. The reversal of 10820023 is 32002801.

It is a happy number.

10820023 is digitally balanced in base 3, 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 a cyclic number.

It is not a de Polignac number, because 10820023 - 213 = 10811831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10819979 and 10820006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2986 + ... + 5527.

It is an arithmetic number, because the mean of its divisors is an integer number (1430352).

Almost surely, 210820023 is an apocalyptic number.

10820023 is a deficient number, since it is larger than the sum of its proper divisors (622793).

10820023 is an equidigital number, since it uses as much as digits as its factorization.

10820023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10820023 is about 3289.3803367808. The cubic root of 10820023 is about 221.1784081093.

Adding to 10820023 its reverse (32002801), we get a palindrome (42822824).

The spelling of 10820023 in words is "ten million, eight hundred twenty thousand, twenty-three".

Divisors: 1 31 41 1271 8513 263903 349033 10820023