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104501040 = 24357173659
BaseRepresentation
bin1100011101010…
…00111100110000
321021122012110220
412032220330300
5203223013130
614211453040
72406146520
oct616507460
9237565426
10104501040
1153a961a6
122abb7180
131885b447
14dc43680
159293410
hex63a8f30

104501040 has 160 divisors (see below), whose sum is σ = 392117760. Its totient is φ = 22474752.

The previous prime is 104501021. The next prime is 104501063. The reversal of 104501040 is 40105401.

It is a super-2 number, since 2×1045010402 = 21840934722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26731 + ... + 30389.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2104501040 is an apocalyptic number.

104501040 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 104501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196058880).

104501040 is an abundant number, since it is smaller than the sum of its proper divisors (287616720).

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

104501040 is a wasteful number, since it uses less digits than its factorization.

104501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 104501040 is about 10222.5750180666. The cubic root of 104501040 is about 471.0209284744.

Adding to 104501040 its reverse (40105401), we get a palindrome (144606441).

The spelling of 104501040 in words is "one hundred four million, five hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 3659 4080 4760 5712 7140 7318 9520 10977 14280 14636 18295 21954 25613 28560 29272 36590 43908 51226 54885 58544 62203 73180 76839 87816 102452 109770 124406 128065 146360 153678 175632 186609 204904 219540 248812 256130 292720 307356 311015 373218 384195 409808 435421 439080 497624 512260 614712 622030 746436 768390 870842 878160 933045 995248 1024520 1229424 1244060 1306263 1492872 1536780 1741684 1866090 2049040 2177105 2488120 2612526 2985744 3073560 3483368 3732180 4354210 4976240 5225052 6147120 6531315 6966736 7464360 8708420 10450104 13062630 14928720 17416840 20900208 26125260 34833680 52250520 104501040