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104002200 = 233252193041
BaseRepresentation
bin1100011001011…
…11001010011000
321020200212012100
412030233022120
5203111032300
614153043400
72402001261
oct614571230
9236625170
10104002200
1153785435
122a9b6560
1318715383
14db53968
1591e5700
hex632f298

104002200 has 144 divisors (see below), whose sum is σ = 367777800. Its totient is φ = 26265600.

The previous prime is 104002189. The next prime is 104002201. The reversal of 104002200 is 2200401.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104002201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 32680 + ... + 35720.

Almost surely, 2104002200 is an apocalyptic number.

104002200 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 104002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183888900).

104002200 is an abundant number, since it is smaller than the sum of its proper divisors (263775600).

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

104002200 is a wasteful number, since it uses less digits than its factorization.

104002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104002200 is about 10198.1468904895. The cubic root of 104002200 is about 470.2702535056.

Adding to 104002200 its reverse (2200401), we get a palindrome (106202601).

The spelling of 104002200 in words is "one hundred four million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3041 3420 3800 4275 5700 6082 6840 8550 9123 11400 12164 15205 17100 18246 24328 27369 30410 34200 36492 45615 54738 57779 60820 72984 76025 91230 109476 115558 121640 136845 152050 173337 182460 218952 228075 231116 273690 288895 304100 346674 364920 456150 462232 520011 547380 577790 608200 684225 693348 866685 912300 1040022 1094760 1155580 1368450 1386696 1444475 1733370 1824600 2080044 2311160 2600055 2736900 2888950 3466740 4160088 4333425 5200110 5473800 5777900 6933480 8666850 10400220 11555800 13000275 17333700 20800440 26000550 34667400 52001100 104002200