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104889816 = 23341571031
BaseRepresentation
bin1100100000001…
…11110111011000
321022100221210000
412100013313120
5203322433231
614224053000
72412356133
oct620076730
9238327700
10104889816
11542312a9
122b164160
13189663a5
14dd0521a
15931d6e6
hex6407dd8

104889816 has 80 divisors (see below), whose sum is σ = 295946640. Its totient is φ = 34706880.

The previous prime is 104889769. The next prime is 104889871. The reversal of 104889816 is 618988401.

It is a super-2 number, since 2×1048898162 = 22003747001027712, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 101221 + ... + 102251.

It is an arithmetic number, because the mean of its divisors is an integer number (3699333).

Almost surely, 2104889816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104889816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147973320).

104889816 is an abundant number, since it is smaller than the sum of its proper divisors (191056824).

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

104889816 is a wasteful number, since it uses less digits than its factorization.

104889816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 104889816 is about 10241.5729260695. The cubic root of 104889816 is about 471.6043198330.

The spelling of 104889816 in words is "one hundred four million, eight hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1031 1256 1413 1884 2062 2826 3093 3768 4124 4239 5652 6186 8248 8478 9279 11304 12372 12717 16956 18558 24744 25434 27837 33912 37116 50868 55674 74232 83511 101736 111348 161867 167022 222696 323734 334044 485601 647468 668088 971202 1294936 1456803 1942404 2913606 3884808 4370409 5827212 8740818 11654424 13111227 17481636 26222454 34963272 52444908 104889816