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1680182048 = 25296167443
BaseRepresentation
bin110010000100101…
…1000101100100000
311100002120002110202
41210021120230200
511420111311143
6434420044332
756431211636
oct14411305440
94302502422
101680182048
11792467706
123aa8336a8
1320a12ac7c
1411d207356
159c78bab8
hex64258b20

1680182048 has 96 divisors (see below), whose sum is σ = 3537898560. Its totient is φ = 784143360.

The previous prime is 1680182047. The next prime is 1680182069. The reversal of 1680182048 is 8402810861.

It is not an unprimeable number, because it can be changed into a prime (1680182047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3792515 + ... + 3792957.

It is an arithmetic number, because the mean of its divisors is an integer number (36853110).

Almost surely, 21680182048 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 1680182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768949280).

1680182048 is an abundant number, since it is smaller than the sum of its proper divisors (1857716512).

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

1680182048 is a wasteful number, since it uses less digits than its factorization.

1680182048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 1680182048 is about 40990.0237618863. The cubic root of 1680182048 is about 1188.8273286487.

The spelling of 1680182048 in words is "one billion, six hundred eighty million, one hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 61 67 116 122 134 232 244 268 443 464 488 536 886 928 976 1072 1769 1772 1943 1952 2144 3538 3544 3886 4087 7076 7088 7772 8174 12847 14152 14176 15544 16348 25694 27023 28304 29681 31088 32696 51388 54046 56608 59362 62176 65392 102776 108092 118523 118724 130784 205552 216184 237046 237448 411104 432368 474092 474896 783667 860749 864736 948184 949792 1567334 1721498 1810541 1896368 3134668 3442996 3621082 3792736 6269336 6885992 7242164 12538672 13771984 14484328 25077344 27543968 28968656 52505689 57937312 105011378 210022756 420045512 840091024 1680182048