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104193945 = 3453143193
BaseRepresentation
bin1100011010111…
…01111110011001
321021001121020000
412031131332121
5203133201240
614201123213
72403430302
oct615357631
9237047200
10104193945
11538a64a9
122aa89509
131878172b
14dba37a9
159232430
hex635df99

104193945 has 80 divisors (see below), whose sum is σ = 198308352. Its totient is φ = 52254720.

The previous prime is 104193937. The next prime is 104193949. The reversal of 104193945 is 549391401.

It is a happy number.

It is not a de Polignac number, because 104193945 - 23 = 104193937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104193949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 539769 + ... + 539961.

Almost surely, 2104193945 is an apocalyptic number.

104193945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104193945 is a deficient number, since it is larger than the sum of its proper divisors (94114407).

104193945 is a wasteful number, since it uses less digits than its factorization.

104193945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 104193945 is about 10207.5435340732. The cubic root of 104193945 is about 470.5590826870.

The spelling of 104193945 in words is "one hundred four million, one hundred ninety-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 31 43 45 81 93 129 135 155 193 215 279 387 405 465 579 645 837 965 1161 1333 1395 1737 1935 2511 2895 3483 3999 4185 5211 5805 5983 6665 8299 8685 11997 12555 15633 17415 17949 19995 24897 26055 29915 35991 41495 53847 59985 74691 78165 89745 107973 124485 161541 179955 224073 257269 269235 373455 484623 539865 672219 771807 807705 1120365 1286345 2315421 2423115 3361095 3859035 6946263 11577105 20838789 34731315 104193945