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103855856 = 241317231277
BaseRepresentation
bin1100011000010…
…11011011110000
321020102102110012
412030023123300
5203041341411
614145554052
72400521516
oct614133360
9236372405
10103855856
1153695495
122a945928
1318693890
14db164b6
1591b718b
hex630b6f0

103855856 has 80 divisors (see below), whose sum is σ = 239609664. Its totient is φ = 43118592.

The previous prime is 103855823. The next prime is 103855861. The reversal of 103855856 is 658558301.

It is a congruent number.

It is an unprimeable number.

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, 80690 + ... + 81966.

Almost surely, 2103855856 is an apocalyptic number.

103855856 is a gapful number since it is divisible by the number (16) 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 103855856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119804832).

103855856 is an abundant number, since it is smaller than the sum of its proper divisors (135753808).

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

103855856 is a wasteful number, since it uses less digits than its factorization.

103855856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The square root of 103855856 is about 10190.9693356422. The cubic root of 103855856 is about 470.0495737660.

The spelling of 103855856 in words is "one hundred three million, eight hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 184 208 221 272 299 368 391 442 598 782 884 1196 1277 1564 1768 2392 2554 3128 3536 4784 5083 5108 6256 10166 10216 16601 20332 20432 21709 29371 33202 40664 43418 58742 66404 81328 86836 117484 132808 173672 234968 265616 282217 347344 381823 469936 499307 564434 763646 998614 1128868 1527292 1997228 2257736 3054584 3994456 4515472 6109168 6490991 7988912 12981982 25963964 51927928 103855856