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104774040 = 23335713859
BaseRepresentation
bin1100011111010…
…11100110011000
321022011001222000
412033223212120
5203310232130
614221401000
72411364450
oct617534630
9238131860
10104774040
1154162318
122b109160
1318925797
14dcb4d60
1592e9260
hex63eb998

104774040 has 128 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 23946624.

The previous prime is 104774023. The next prime is 104774063. The reversal of 104774040 is 40477401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104773995 and 104774013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631 + ... + 14489.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2104774040 is an apocalyptic number.

104774040 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 104774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

104774040 is an abundant number, since it is smaller than the sum of its proper divisors (294393960).

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

104774040 is a wasteful number, since it uses less digits than its factorization.

104774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 104774040 is about 10235.9191087073. The cubic root of 104774040 is about 471.4307390691.

The spelling of 104774040 in words is "one hundred four million, seven hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 13859 27718 41577 55436 69295 83154 97013 110872 124731 138590 166308 194026 207885 249462 277180 291039 332616 374193 388052 415770 485065 498924 554360 582078 623655 748386 776104 831540 873117 970130 997848 1164156 1247310 1455195 1496772 1663080 1746234 1870965 1940260 2328312 2494620 2619351 2910390 2993544 3492468 3741930 3880520 4365585 4989240 5238702 5820780 6984936 7483860 8731170 10477404 11641560 13096755 14967720 17462340 20954808 26193510 34924680 52387020 104774040