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84280200 = 23352197393
BaseRepresentation
bin1010000011000…
…00001110001000
312212120212200220
411001200032020
5133033431300
612210230040
72042240604
oct501401610
9185525626
1084280200
1143634a64
1224285320
13145cb654
14b29c504
1575ebda0
hex5060388

84280200 has 96 divisors (see below), whose sum is σ = 275056800. Its totient is φ = 21288960.

The previous prime is 84280199. The next prime is 84280247. The reversal of 84280200 is 208248.

It is a super-2 number, since 2×842802002 = 14206304224080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7704 + ... + 15096.

It is an arithmetic number, because the mean of its divisors is an integer number (2865175).

Almost surely, 284280200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137528400).

84280200 is an abundant number, since it is smaller than the sum of its proper divisors (190776600).

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

84280200 is a wasteful number, since it uses less digits than its factorization.

84280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84280200 is about 9180.4248267714. The cubic root of 84280200 is about 438.4383343546.

Adding to 84280200 its reverse (208248), we get a palindrome (84488448).

The spelling of 84280200 in words is "eighty-four million, two hundred eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 7393 11400 14786 22179 29572 36965 44358 59144 73930 88716 110895 140467 147860 177432 184825 221790 280934 295720 369650 421401 443580 554475 561868 702335 739300 842802 887160 1108950 1123736 1404670 1478600 1685604 2107005 2217900 2809340 3371208 3511675 4214010 4435800 5618680 7023350 8428020 10535025 14046700 16856040 21070050 28093400 42140100 84280200