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104811408 = 2434136221
BaseRepresentation
bin1100011111101…
…00101110010000
321022012222020000
412033310232100
5203312431113
614222250000
72411611422
oct617645620
9238188200
10104811408
11541883a9
122b126900
13189397b0
14dcc4812
159305373
hex63f4b90

104811408 has 100 divisors (see below), whose sum is σ = 326742108. Its totient is φ = 32244480.

The previous prime is 104811389. The next prime is 104811419. The reversal of 104811408 is 804118401.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 95883264 = 2988^2 + 9792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13738 + ... + 19958.

Almost surely, 2104811408 is an apocalyptic number.

104811408 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 104811408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163371054).

104811408 is an abundant number, since it is smaller than the sum of its proper divisors (221930700).

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

104811408 is a wasteful number, since it uses less digits than its factorization.

104811408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 104811408 is about 10237.7442827998. The cubic root of 104811408 is about 471.4867781731.

Adding to 104811408 its reverse (804118401), we get a palindrome (908929809).

The spelling of 104811408 in words is "one hundred four million, eight hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 6221 8424 12442 16848 18663 24884 37326 49768 55989 74652 80873 99536 111978 149304 161746 167967 223956 242619 298608 323492 335934 447912 485238 503901 646984 671868 727857 895824 970476 1007802 1293968 1343736 1455714 1940952 2015604 2183571 2687472 2911428 3881904 4031208 4367142 5822856 6550713 8062416 8734284 11645712 13101426 17468568 26202852 34937136 52405704 104811408