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104185740 = 223519591549
BaseRepresentation
bin1100011010110…
…11111110001100
321021001011222010
412031123332030
5203132420430
614201021220
72403364341
oct615337614
9237034863
10104185740
11538a031a
122aa84810
131877aa89
14dba07c8
15922ecb0
hex635bf8c

104185740 has 96 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 25857792.

The previous prime is 104185733. The next prime is 104185769. The reversal of 104185740 is 47581401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104185698 and 104185707.

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, 66486 + ... + 68034.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 2104185740 is an apocalyptic number.

104185740 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 104185740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

104185740 is an abundant number, since it is smaller than the sum of its proper divisors (208294260).

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

104185740 is a wasteful number, since it uses less digits than its factorization.

104185740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 104185740 is about 10207.1416175147. The cubic root of 104185740 is about 470.5467305981.

The spelling of 104185740 in words is "one hundred four million, one hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 177 190 228 236 285 295 354 380 570 590 708 885 1121 1140 1180 1549 1770 2242 3098 3363 3540 4484 4647 5605 6196 6726 7745 9294 11210 13452 15490 16815 18588 22420 23235 29431 30980 33630 46470 58862 67260 88293 91391 92940 117724 147155 176586 182782 274173 294310 353172 365564 441465 456955 548346 588620 882930 913910 1096692 1370865 1736429 1765860 1827820 2741730 3472858 5209287 5483460 6945716 8682145 10418574 17364290 20837148 26046435 34728580 52092870 104185740