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104043168 = 253223113139
BaseRepresentation
bin1100011001110…
…01001010100000
321020202221101200
412030321022200
5203113340133
614154001200
72402231565
oct614711240
9236687350
10104043168
1153803199
122aa16200
131872ac08
14db6486c
159202913
hex63392a0

104043168 has 144 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 32643072.

The previous prime is 104043131. The next prime is 104043169. The reversal of 104043168 is 861340401.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (104043169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748443 + ... + 748581.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2104043168 is an apocalyptic number.

104043168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

104043168 is an abundant number, since it is smaller than the sum of its proper divisors (209666592).

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

104043168 is a wasteful number, since it uses less digits than its factorization.

104043168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104043168 is about 10200.1552929355. The cubic root of 104043168 is about 470.3319941950.

Adding to 104043168 its reverse (861340401), we get a palindrome (965383569).

The spelling of 104043168 in words is "one hundred four million, forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 113 138 139 144 184 207 226 276 278 288 339 368 414 417 452 552 556 678 736 828 834 904 1017 1104 1112 1251 1356 1656 1668 1808 2034 2208 2224 2502 2599 2712 3197 3312 3336 3616 4068 4448 5004 5198 5424 6394 6624 6672 7797 8136 9591 10008 10396 10848 12788 13344 15594 15707 16272 19182 20016 20792 23391 25576 28773 31188 31414 32544 38364 40032 41584 46782 47121 51152 57546 62376 62828 76728 83168 93564 94242 102304 115092 124752 125656 141363 153456 187128 188484 230184 249504 251312 282726 306912 361261 374256 376968 460368 502624 565452 722522 748512 753936 920736 1083783 1130904 1445044 1507872 2167566 2261808 2890088 3251349 4335132 4523616 5780176 6502698 8670264 11560352 13005396 17340528 26010792 34681056 52021584 104043168