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104378760 = 23335127761
BaseRepresentation
bin1100011100010…
…11000110001000
321021101222202000
412032023012020
5203210110020
614205111000
72405130153
oct616130610
9237358660
10104378760
1153a12342
122ab58460
13188178a5
14dc10c9a
15926c090
hex638b188

104378760 has 128 divisors (see below), whose sum is σ = 351129600. Its totient is φ = 27578880.

The previous prime is 104378749. The next prime is 104378773. The reversal of 104378760 is 67873401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136780 + ... + 137540.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2104378760 is an apocalyptic number.

104378760 is a gapful number since it is divisible by the number (10) 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 104378760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

104378760 is an abundant number, since it is smaller than the sum of its proper divisors (246750840).

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

104378760 is a wasteful number, since it uses less digits than its factorization.

104378760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 104378760 is about 10216.5923868969. The cubic root of 104378760 is about 470.8371378988.

The spelling of 104378760 in words is "one hundred four million, three hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 127 135 180 216 254 270 360 381 508 540 635 761 762 1016 1080 1143 1270 1522 1524 1905 2283 2286 2540 3044 3048 3429 3805 3810 4566 4572 5080 5715 6088 6849 6858 7610 7620 9132 9144 11415 11430 13698 13716 15220 15240 17145 18264 20547 22830 22860 27396 27432 30440 34245 34290 41094 45660 45720 54792 68490 68580 82188 91320 96647 102735 136980 137160 164376 193294 205470 273960 289941 386588 410940 483235 579882 773176 821880 869823 966470 1159764 1449705 1739646 1932940 2319528 2609469 2899410 3479292 3865880 4349115 5218938 5798820 6958584 8698230 10437876 11597640 13047345 17396460 20875752 26094690 34792920 52189380 104378760