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1680010241 = 71327092003
BaseRepresentation
bin110010000100010…
…1110110000000001
311100002020100210112
41210020232300001
511420040311431
6434412241105
756426565020
oct14410566001
94302210715
101680010241
1179235a618
123aa770195
1320a09aa00
1411d1a08b7
159c755c2b
hex6422ec01

1680010241 has 24 divisors (see below), whose sum is σ = 2083037760. Its totient is φ = 1326701376.

The previous prime is 1680010217. The next prime is 1680010243. The reversal of 1680010241 is 1420100861.

It is a de Polignac number, because none of the positive numbers 2k-1680010241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1680010243) 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 23 ways as a sum of consecutive naturals, for example, 837746 + ... + 839748.

It is an arithmetic number, because the mean of its divisors is an integer number (86793240).

Almost surely, 21680010241 is an apocalyptic number.

It is an amenable number.

1680010241 is a deficient number, since it is larger than the sum of its proper divisors (403027519).

1680010241 is a wasteful number, since it uses less digits than its factorization.

1680010241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1680010241 is about 40987.9279910561. The cubic root of 1680010241 is about 1188.7868060916.

The spelling of 1680010241 in words is "one billion, six hundred eighty million, ten thousand, two hundred forty-one".

Divisors: 1 7 13 91 169 709 1183 2003 4963 9217 14021 26039 64519 119821 182273 338507 838747 1420127 2369549 9940889 18461651 129231557 240001463 1680010241