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104200320 = 273577753
BaseRepresentation
bin1100011010111…
…11100010000000
321021001220222010
412031133202000
5203133402240
614201212520
72403455010
oct615374200
9237056863
10104200320
1153900274
122aa91140
13187845c3
14dba5c40
159234280
hex635f880

104200320 has 128 divisors (see below), whose sum is σ = 379635840. Its totient is φ = 23814144.

The previous prime is 104200297. The next prime is 104200357. The reversal of 104200320 is 23002401.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 104200296 and 104200305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9564 + ... + 17316.

It is an arithmetic number, because the mean of its divisors is an integer number (2965905).

Almost surely, 2104200320 is an apocalyptic number.

104200320 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 104200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189817920).

104200320 is an abundant number, since it is smaller than the sum of its proper divisors (275435520).

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

104200320 is an equidigital number, since it uses as much as digits as its factorization.

104200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 104200320 is about 10207.8557983545. The cubic root of 104200320 is about 470.5686793834.

Adding to 104200320 its reverse (23002401), we get a palindrome (127202721).

The spelling of 104200320 in words is "one hundred four million, two hundred thousand, three hundred twenty".

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 7753 13440 15506 23259 31012 38765 46518 54271 62024 77530 93036 108542 116295 124048 155060 162813 186072 217084 232590 248096 271355 310120 325626 372144 434168 465180 496192 542710 620240 651252 744288 814065 868336 930360 992384 1085420 1240480 1302504 1488576 1628130 1736672 1860720 2170840 2480960 2605008 2977152 3256260 3473344 3721440 4341680 4961920 5210016 6512520 6946688 7442880 8683360 10420032 13025040 14885760 17366720 20840064 26050080 34733440 52100160 104200320