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520200 = 233252172
BaseRepresentation
bin1111111000000001000
3222102120200
41333000020
5113121300
615052200
74264422
oct1770010
9872520
10520200
1132591a
12211060
13152a15
14d7812
15a4200
hex7f008

520200 has 108 divisors (see below), whose sum is σ = 1855815. Its totient is φ = 130560.

The previous prime is 520193. The next prime is 520213. The reversal of 520200 is 2025.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 338724 + 181476 = 582^2 + 426^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=510.

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 520200.

It is an unprimeable number.

520200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30592 + ... + 30608.

2520200 is an apocalyptic number.

520200 is a gapful number since it is divisible by the number (50) 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 520200

520200 is an abundant number, since it is smaller than the sum of its proper divisors (1335615).

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

520200 is a wasteful number, since it uses less digits than its factorization.

520200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 520200 is about 721.2489168103. The cubic root of 520200 is about 80.4248234036.

Adding to 520200 its reverse (2025), we get a palindrome (522225).

The spelling of 520200 in words is "five hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 289 300 306 340 360 408 425 450 510 578 600 612 680 765 850 867 900 1020 1156 1224 1275 1445 1530 1700 1734 1800 2040 2312 2550 2601 2890 3060 3400 3468 3825 4335 5100 5202 5780 6120 6936 7225 7650 8670 10200 10404 11560 13005 14450 15300 17340 20808 21675 26010 28900 30600 34680 43350 52020 57800 65025 86700 104040 130050 173400 260100 520200