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6200542340 = 2254118141777
BaseRepresentation
bin1011100011001010…
…01100010010000100
3121000010102012001022
411301211030102010
5100144314323330
62503135050312
7306440511626
oct56145142204
917003365038
106200542340
1126a2054263
121250670998
1377a7b2b85
1442b6d2c16
1526454cae5
hex17194c484

6200542340 has 48 divisors (see below), whose sum is σ = 13412743344. Its totient is φ = 2406297600.

The previous prime is 6200542333. The next prime is 6200542343. The reversal of 6200542340 is 432450026.

It can be written as a sum of positive squares in 8 ways, for example, as 2886697984 + 3313844356 = 53728^2 + 57566^2 .

It is not an unprimeable number, because it can be changed into a prime (6200542343) 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, 127532 + ... + 169308.

It is an arithmetic number, because the mean of its divisors is an integer number (279432153).

Almost surely, 26200542340 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 6200542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706371672).

6200542340 is an abundant number, since it is smaller than the sum of its proper divisors (7212201004).

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

6200542340 is a wasteful number, since it uses less digits than its factorization.

6200542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42008 (or 42006 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 6200542340 is about 78743.5225272530. The cubic root of 6200542340 is about 1837.1441144572.

Adding to 6200542340 its reverse (432450026), we get a palindrome (6632992366).

The spelling of 6200542340 in words is "six billion, two hundred million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 181 205 362 410 724 820 905 1810 3620 7421 14842 29684 37105 41777 74210 83554 148420 167108 208885 417770 835540 1712857 3425714 6851428 7561637 8564285 15123274 17128570 30246548 34257140 37808185 75616370 151232740 310027117 620054234 1240108468 1550135585 3100271170 6200542340