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10023819 = 313318291
BaseRepresentation
bin100110001111…
…001110001011
3200212021002120
4212033032023
510031230234
6554502323
7151125651
oct46171613
920767076
1010023819
115727053
1234349a3
1320cc670
14148cdd1
15d30049
hex98f38b

10023819 has 16 divisors (see below), whose sum is σ = 14859264. Its totient is φ = 5968800.

The previous prime is 10023817. The next prime is 10023847. The reversal of 10023819 is 91832001.

It is not a de Polignac number, because 10023819 - 21 = 10023817 is a prime.

It is a super-2 number, since 2×100238192 = 200953894689522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023817) 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 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (928704).

Almost surely, 210023819 is an apocalyptic number.

10023819 is a deficient number, since it is larger than the sum of its proper divisors (4835445).

10023819 is a wasteful number, since it uses less digits than its factorization.

10023819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10023819 is about 3166.0415347876. The cubic root of 10023819 is about 215.6143883036.

The spelling of 10023819 in words is "ten million, twenty-three thousand, eight hundred nineteen".

Divisors: 1 3 13 31 39 93 403 1209 8291 24873 107783 257021 323349 771063 3341273 10023819