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520134800 = 24526121317
BaseRepresentation
bin11111000000001…
…010000010010000
31100020201120210212
4133000022002100
52031123303200
6123340143252
715614033663
oct3700120220
91306646725
10520134800
11247669a79
12126237b28
13839b4993
144d1176da
15309e4035
hex1f00a090

520134800 has 60 divisors (see below), whose sum is σ = 1270169076. Its totient is φ = 204633600.

The previous prime is 520134773. The next prime is 520134817. The reversal of 520134800 is 8431025.

It can be written as a sum of positive squares in 6 ways, for example, as 1752976 + 518381824 = 1324^2 + 22768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13742 + ... + 35058.

Almost surely, 2520134800 is an apocalyptic number.

520134800 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 520134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635084538).

520134800 is an abundant number, since it is smaller than the sum of its proper divisors (750034276).

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

520134800 is a wasteful number, since it uses less digits than its factorization.

520134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21396 (or 21385 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 520134800 is about 22806.4639959815. The cubic root of 520134800 is about 804.2146321031.

Adding to 520134800 its reverse (8431025), we get a palindrome (528565825).

The spelling of 520134800 in words is "five hundred twenty million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4880 6100 12200 21317 24400 42634 85268 106585 170536 213170 341072 426340 532925 852680 1065850 1300337 1705360 2131700 2600674 4263400 5201348 6501685 8526800 10402696 13003370 20805392 26006740 32508425 52013480 65016850 104026960 130033700 260067400 520134800