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103889088 = 2633591019
BaseRepresentation
bin1100011000100…
…11100011000000
321020111010001000
412030103203000
5203043422323
614150412000
72401020432
oct614234300
9236433030
10103889088
1153708456
122a961000
13186a5a44
14db24652
1591c1e43
hex63138c0

103889088 has 112 divisors (see below), whose sum is σ = 310896000. Its totient is φ = 34009344.

The previous prime is 103889087. The next prime is 103889101. The reversal of 103889088 is 880988301.

It is not an unprimeable number, because it can be changed into a prime (103889087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101443 + ... + 102461.

Almost surely, 2103889088 is an apocalyptic number.

103889088 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 103889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448000).

103889088 is an abundant number, since it is smaller than the sum of its proper divisors (207006912).

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

103889088 is a wasteful number, since it uses less digits than its factorization.

103889088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1083 counting only the distinct ones).

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

The square root of 103889088 is about 10192.5996683869. The cubic root of 103889088 is about 470.0997042135.

The spelling of 103889088 in words is "one hundred three million, eight hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1019 1062 1416 1593 1728 1888 2038 2124 2832 3057 3186 3776 4076 4248 5664 6114 6372 8152 8496 9171 11328 12228 12744 16304 16992 18342 24456 25488 27513 32608 33984 36684 48912 50976 55026 60121 65216 73368 97824 101952 110052 120242 146736 180363 195648 220104 240484 293472 360726 440208 480968 541089 586944 721452 880416 961936 1082178 1442904 1623267 1760832 1923872 2164356 2885808 3246534 3847744 4328712 5771616 6493068 8657424 11543232 12986136 17314848 25972272 34629696 51944544 103889088