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6580387060 = 22513197128473
BaseRepresentation
bin1100010000011100…
…01011110011110100
3121222121011022001021
412020032023303310
5101434034341220
63004544310524
7322032236632
oct61016136364
917877138037
106580387060
112877503215
121337912444
1380b3b8470
14465d2c352
15287a7e4aa
hex18838bcf4

6580387060 has 48 divisors (see below), whose sum is σ = 14957456976. Its totient is φ = 2417329152.

The previous prime is 6580387031. The next prime is 6580387067. The reversal of 6580387060 is 607830856.

It can be written as a sum of positive squares in 8 ways, for example, as 809857764 + 5770529296 = 28458^2 + 75964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6580386998 and 6580387016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6580387067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13017 + ... + 115456.

It is an arithmetic number, because the mean of its divisors is an integer number (311613687).

Almost surely, 26580387060 is an apocalyptic number.

It is an amenable number.

6580387060 is an abundant number, since it is smaller than the sum of its proper divisors (8377069916).

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

6580387060 is a wasteful number, since it uses less digits than its factorization.

6580387060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128692 (or 128690 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 6580387060 is about 81119.5849348356. The cubic root of 6580387060 is about 1873.9175557250.

The spelling of 6580387060 in words is "six billion, five hundred eighty million, three hundred eighty-seven thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 12805 25610 51220 128473 256946 513892 642365 1284730 1670149 2569460 3340298 6680596 8350745 16701490 25309181 33402980 50618362 101236724 126545905 253091810 329019353 506183620 658038706 1316077412 1645096765 3290193530 6580387060