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104254080 = 273577757
BaseRepresentation
bin1100011011011…
…00101010000000
321021011122201020
412031230222000
5203142112310
614202305440
72404100520
oct615545200
9237148636
10104254080
11539376a7
122aab8280
13187a2c08
14dbbb680
159245170
hex636ca80

104254080 has 128 divisors (see below), whose sum is σ = 379831680. Its totient is φ = 23826432.

The previous prime is 104254079. The next prime is 104254133. The reversal of 104254080 is 80452401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104254080.

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 15 ways as a sum of consecutive naturals, for example, 9562 + ... + 17318.

It is an arithmetic number, because the mean of its divisors is an integer number (2967435).

Almost surely, 2104254080 is an apocalyptic number.

104254080 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 104254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189915840).

104254080 is an abundant number, since it is smaller than the sum of its proper divisors (275577600).

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

104254080 is an equidigital number, since it uses as much as digits as its factorization.

104254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 104254080 is about 10210.4887248358. The cubic root of 104254080 is about 470.6495921958.

The spelling of 104254080 in words is "one hundred four million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 7757 13440 15514 23271 31028 38785 46542 54299 62056 77570 93084 108598 116355 124112 155140 162897 186168 217196 232710 248224 271495 310280 325794 372336 434392 465420 496448 542990 620560 651588 744672 814485 868784 930840 992896 1085980 1241120 1303176 1489344 1628970 1737568 1861680 2171960 2482240 2606352 2978688 3257940 3475136 3723360 4343920 4964480 5212704 6515880 6950272 7446720 8687840 10425408 13031760 14893440 17375680 20850816 26063520 34751360 52127040 104254080