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8080200 = 233252672
BaseRepresentation
bin11110110100101101001000
3120012111221200
4132310231020
54032031300
6445104200
7125452302
oct36645510
916174850
108080200
114619857
122858060
13189baab
141104972
15a99200
hex7b4b48

8080200 has 108 divisors (see below), whose sum is σ = 27547065. Its totient is φ = 2122560.

The previous prime is 8080159. The next prime is 8080201. The reversal of 8080200 is 20808.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8080200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 161604 = 2814^2 + 402^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2010.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8080201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120567 + ... + 120633.

Almost surely, 28080200 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 8080200

8080200 is an abundant number, since it is smaller than the sum of its proper divisors (19466865).

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

8080200 is a wasteful number, since it uses less digits than its factorization.

8080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8080200 is about 2842.5692603699. The cubic root of 8080200 is about 200.6661123421. Note that the first 3 decimals are identical.

Multiplying 8080200 by its sum of digits (18), we get a square (145443600 = 120602).

8080200 divided by its sum of digits (18) gives a square (448900 = 6702).

Multiplying 8080200 by its product of nonzero digits (128), we get a square (1034265600 = 321602).

Multiplying 8080200 by its reverse (20808), we get a square (168132801600 = 4100402).

The spelling of 8080200 in words is "eight million, eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 67 72 75 90 100 120 134 150 180 200 201 225 268 300 335 360 402 450 536 600 603 670 804 900 1005 1206 1340 1608 1675 1800 2010 2412 2680 3015 3350 4020 4489 4824 5025 6030 6700 8040 8978 10050 12060 13400 13467 15075 17956 20100 22445 24120 26934 30150 35912 40200 40401 44890 53868 60300 67335 80802 89780 107736 112225 120600 134670 161604 179560 202005 224450 269340 323208 336675 404010 448900 538680 673350 808020 897800 1010025 1346700 1616040 2020050 2693400 4040100 8080200