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1486680336 = 243241251809
BaseRepresentation
bin101100010011100…
…1111000100010000
310211121110012000200
41120213033010100
511021042232321
6403304415200
751561401001
oct13047170420
93747405020
101486680336
116a3212a39
12355a77500
131a900a70b
141016371a8
158a7b7d26
hex589cf110

1486680336 has 60 divisors (see below), whose sum is σ = 4262136060. Its totient is φ = 483471360.

The previous prime is 1486680317. The next prime is 1486680337. The reversal of 1486680336 is 6330866841.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 1397264400 = 9456^2 + 37380^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1486680291 and 1486680300.

It is not an unprimeable number, because it can be changed into a prime (1486680337) 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 11 ways as a sum of consecutive naturals, for example, 120001 + ... + 131808.

It is an arithmetic number, because the mean of its divisors is an integer number (71035601).

Almost surely, 21486680336 is an apocalyptic number.

1486680336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1486680336 is an abundant number, since it is smaller than the sum of its proper divisors (2775455724).

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

1486680336 is a wasteful number, since it uses less digits than its factorization.

1486680336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251864 (or 251855 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1486680336 is about 38557.4939019641. The cubic root of 1486680336 is about 1141.3158950750.

The spelling of 1486680336 in words is "one billion, four hundred eighty-six million, six hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 251809 503618 755427 1007236 1510854 2014472 2266281 3021708 4028944 4532562 6043416 9065124 10324169 12086832 18130248 20648338 30972507 36260496 41296676 61945014 82593352 92917521 123890028 165186704 185835042 247780056 371670084 495560112 743340168 1486680336