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104828360 = 23571331929
BaseRepresentation
bin1100011111110…
…00110111001000
321022020211110212
412033320313020
5203314001420
614222500252
72412012020
oct617706710
9238224425
10104828360
115419a10a
122b134688
1318944420
14dccaa80
15930a3c5
hex63f8dc8

104828360 has 128 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 32071680.

The previous prime is 104828357. The next prime is 104828369. The reversal of 104828360 is 63828401.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (104828369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112376 + ... + 113304.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2104828360 is an apocalyptic number.

104828360 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 104828360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

104828360 is an abundant number, since it is smaller than the sum of its proper divisors (195152440).

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

104828360 is a wasteful number, since it uses less digits than its factorization.

104828360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 104828360 is about 10238.5721660786. The cubic root of 104828360 is about 471.5121959310.

The spelling of 104828360 in words is "one hundred four million, eight hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 929 1085 1240 1612 1736 1820 1858 2015 2170 2821 3224 3640 3716 4030 4340 4645 5642 6503 7432 8060 8680 9290 11284 12077 13006 14105 16120 18580 22568 24154 26012 28210 28799 32515 37160 48308 52024 56420 57598 60385 65030 84539 96616 112840 115196 120770 130060 143995 169078 201593 230392 241540 260120 287990 338156 374387 403186 422695 483080 575980 676312 748774 806372 845390 1007965 1151960 1497548 1612744 1690780 1871935 2015930 2620709 2995096 3381560 3743870 4031860 5241418 7487740 8063720 10482836 13103545 14975480 20965672 26207090 52414180 104828360