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520720032 = 25371097109
BaseRepresentation
bin11111000010011…
…000111010100000
31100021211022121010
4133002120322200
52031301020112
6123400500520
715622022130
oct3702307240
91307738533
10520720032
11247a29738
1212647a740
1383b5b181
144d22aac0
1530aac63c
hex1f098ea0

520720032 has 96 divisors (see below), whose sum is σ = 1576713600. Its totient is φ = 147391488.

The previous prime is 520720021. The next prime is 520720033. The reversal of 520720032 is 230027025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5207200322 = 542298703452162048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 520719990 and 520720008.

It is not an unprimeable number, because it can be changed into a prime (520720033) 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, 69694 + ... + 76802.

It is an arithmetic number, because the mean of its divisors is an integer number (16424100).

Almost surely, 2520720032 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 520720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788356800).

520720032 is an abundant number, since it is smaller than the sum of its proper divisors (1055993568).

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

520720032 is a wasteful number, since it uses less digits than its factorization.

520720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 520720032 is about 22819.2907865253. The cubic root of 520720032 is about 804.5161409485.

Adding to 520720032 its reverse (230027025), we get a palindrome (750747057).

The spelling of 520720032 in words is "five hundred twenty million, seven hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 7109 9156 10464 12208 14218 18312 21327 24416 28436 36624 42654 49763 56872 73248 85308 99526 113744 149289 170616 199052 227488 298578 341232 398104 597156 682464 774881 796208 1194312 1549762 1592416 2324643 2388624 3099524 4649286 4777248 5424167 6199048 9298572 10848334 12398096 16272501 18597144 21696668 24796192 32545002 37194288 43393336 65090004 74388576 86786672 130180008 173573344 260360016 520720032