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104693823 = 3313379787
BaseRepresentation
bin1100011110110…
…00000000111111
321021222222221000
412033120000333
5203300200243
614215541343
72410611543
oct617300077
9237888830
10104693823
1154108023
122b08a853
13188c8110
14dc93a23
1592d05d3
hex63d803f

104693823 has 32 divisors (see below), whose sum is σ = 167686400. Its totient is φ = 64175328.

The previous prime is 104693801. The next prime is 104693843. The reversal of 104693823 is 328396401.

It is a Cunningham number, because it is equal to 102322-1.

It is not a de Polignac number, because 104693823 - 210 = 104692799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104693843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132636 + ... + 133422.

It is an arithmetic number, because the mean of its divisors is an integer number (5240200).

Almost surely, 2104693823 is an apocalyptic number.

104693823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

104693823 is a deficient number, since it is larger than the sum of its proper divisors (62992577).

104693823 is a wasteful number, since it uses less digits than its factorization.

104693823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 104693823 is about 10231.9999511337. Note that the first 4 decimals coincide. The cubic root of 104693823 is about 471.3103962349.

The spelling of 104693823 in words is "one hundred four million, six hundred ninety-three thousand, eight hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 351 379 787 1137 2361 3411 4927 7083 10231 10233 14781 21249 30693 44343 92079 133029 276237 298273 894819 2684457 3877549 8053371 11632647 34897941 104693823