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2727684660 = 2235107479887
BaseRepresentation
bin1010001010010101…
…0010101000110100
321001002121201220210
42202211102220310
521041241402120
61130355425420
7124410636261
oct24245225064
97032551823
102727684660
11117a785948
126415b5270
1334615a8bc
141bc39c268
1510e702ce0
hexa2952a34

2727684660 has 96 divisors (see below), whose sum is σ = 7733698560. Its totient is φ = 718269568.

The previous prime is 2727684643. The next prime is 2727684667. The reversal of 2727684660 is 664867272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2727684667) 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 31 ways as a sum of consecutive naturals, for example, 3074737 + ... + 3075623.

It is an arithmetic number, because the mean of its divisors is an integer number (80559360).

Almost surely, 22727684660 is an apocalyptic number.

2727684660 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 2727684660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866849280).

2727684660 is an abundant number, since it is smaller than the sum of its proper divisors (5006013900).

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

2727684660 is a wasteful number, since it uses less digits than its factorization.

2727684660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 2727684660 is about 52227.2405933915. The cubic root of 2727684660 is about 1397.2197647477.

The spelling of 2727684660 in words is "two billion, seven hundred twenty-seven million, six hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 479 535 642 887 958 1070 1284 1437 1605 1774 1916 2140 2395 2661 2874 3210 3548 4435 4790 5322 5748 6420 7185 8870 9580 10644 13305 14370 17740 26610 28740 51253 53220 94909 102506 153759 189818 205012 256265 284727 307518 379636 424873 474545 512530 569454 615036 768795 849746 949090 1025060 1138908 1274619 1423635 1537590 1699492 1898180 2124365 2549238 2847270 3075180 4248730 5098476 5694540 6373095 8497460 12746190 25492380 45461411 90922822 136384233 181845644 227307055 272768466 454614110 545536932 681921165 909228220 1363842330 2727684660