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204834520 = 235111513083
BaseRepresentation
bin11000011010110…
…00011011011000
3112021102200010201
430031120123120
5404414201040
632154151544
75035031122
oct1415303330
9467380121
10204834520
11a5695230
12587225b4
133358a977
141d2c0212
1512eb1a9a
hexc3586d8

204834520 has 64 divisors (see below), whose sum is σ = 506269440. Its totient is φ = 73968000.

The previous prime is 204834491. The next prime is 204834529. The reversal of 204834520 is 25438402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204834529) 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 15 ways as a sum of consecutive naturals, for example, 64899 + ... + 67981.

It is an arithmetic number, because the mean of its divisors is an integer number (7910460).

Almost surely, 2204834520 is an apocalyptic number.

204834520 is a gapful number since it is divisible by the number (20) 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 204834520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253134720).

204834520 is an abundant number, since it is smaller than the sum of its proper divisors (301434920).

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

204834520 is a wasteful number, since it uses less digits than its factorization.

204834520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 204834520 is about 14312.0410843457. The cubic root of 204834520 is about 589.4781558301.

The spelling of 204834520 in words is "two hundred four million, eight hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3083 3322 6040 6166 6644 8305 12332 13288 15415 16610 24664 30830 33220 33913 61660 66440 67826 123320 135652 169565 271304 339130 465533 678260 931066 1356520 1862132 2327665 3724264 4655330 5120863 9310660 10241726 18621320 20483452 25604315 40966904 51208630 102417260 204834520