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6005105060 = 225958731319
BaseRepresentation
bin1011001011110111…
…01010000110100100
3120111111122221111112
411211323222012210
544244301330220
62431514124152
7301545356633
oct54573520644
916444587445
106005105060
1126017a8349
1211b7120658
13749165606
1440d77b51a
152522e55c5
hex165eea1a4

6005105060 has 24 divisors (see below), whose sum is σ = 12612438720. Its totient is φ = 2401714784.

The previous prime is 6005105047. The next prime is 6005105087. The reversal of 6005105060 is 605015006.

It is a super-2 number, since 2×60051050602 = 72122573563275207200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176081 + ... + 207399.

It is an arithmetic number, because the mean of its divisors is an integer number (525518280).

Almost surely, 26005105060 is an apocalyptic number.

It is an amenable number.

6005105060 is an abundant number, since it is smaller than the sum of its proper divisors (6607333660).

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

6005105060 is a wasteful number, since it uses less digits than its factorization.

6005105060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40915 (or 40913 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 6005105060 is about 77492.6129382666. The cubic root of 6005105060 is about 1817.6358083846.

The spelling of 6005105060 in words is "six billion, five million, one hundred five thousand, sixty".

Divisors: 1 2 4 5 10 20 9587 19174 31319 38348 47935 62638 95870 125276 156595 191740 313190 626380 300255253 600510506 1201021012 1501276265 3002552530 6005105060