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104008674 = 237211291109
BaseRepresentation
bin1100011001100…
…00101111100010
321020201012002010
412030300233202
5203111234144
614153133350
72402026200
oct614605742
9236635063
10104008674
115378a290
122a9ba256
13187182c3
14db56070
1591e75b9
hex6330be2

104008674 has 96 divisors (see below), whose sum is σ = 273326400. Its totient is φ = 26060160.

The previous prime is 104008673. The next prime is 104008687. The reversal of 104008674 is 476800401.

It is not an unprimeable number, because it can be changed into a prime (104008673) 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 47 ways as a sum of consecutive naturals, for example, 93232 + ... + 94340.

It is an arithmetic number, because the mean of its divisors is an integer number (2847150).

Almost surely, 2104008674 is an apocalyptic number.

104008674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104008674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136663200).

104008674 is an abundant number, since it is smaller than the sum of its proper divisors (169317726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104008674 is a wasteful number, since it uses less digits than its factorization.

104008674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 104008674 is about 10198.4642961575. The cubic root of 104008674 is about 470.2800112045.

The spelling of 104008674 in words is "one hundred four million, eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 49 58 66 77 87 98 147 154 174 203 231 294 319 406 462 539 609 638 957 1078 1109 1218 1421 1617 1914 2218 2233 2842 3234 3327 4263 4466 6654 6699 7763 8526 12199 13398 15526 15631 23289 24398 31262 32161 36597 46578 46893 54341 64322 73194 85393 93786 96483 108682 163023 170786 192966 225127 256179 326046 353771 450254 512358 597751 675381 707542 1061313 1195502 1350762 1575889 1793253 2122626 2476397 3151778 3586506 4727667 4952794 7429191 9455334 14858382 17334779 34669558 52004337 104008674