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1680965041 = 7235299721
BaseRepresentation
bin110010000110001…
…0111110110110001
311100011000212112111
41210030113312301
511420311340131
6434444525321
756440652500
oct14414276661
94304025474
101680965041
11792951a08
123aab50841
1320a343492
1411d36c837
159c893ab1
hex64317db1

1680965041 has 12 divisors (see below), whose sum is σ = 1956163620. Its totient is φ = 1440270720.

The previous prime is 1680965029. The next prime is 1680965063. The reversal of 1680965041 is 1405690861.

It can be written as a sum of positive squares in 2 ways, for example, as 90630400 + 1590334641 = 9520^2 + 39879^2 .

It is not a de Polignac number, because 1680965041 - 25 = 1680965009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1680964985 and 1680965003.

It is not an unprimeable number, because it can be changed into a prime (1680965021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168061 + ... + 177781.

It is an arithmetic number, because the mean of its divisors is an integer number (163013635).

Almost surely, 21680965041 is an apocalyptic number.

It is an amenable number.

1680965041 is a deficient number, since it is larger than the sum of its proper divisors (275198579).

1680965041 is an equidigital number, since it uses as much as digits as its factorization.

1680965041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 13257 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1680965041 is about 40999.5736685151. The cubic root of 1680965041 is about 1189.0119711242.

The spelling of 1680965041 in words is "one billion, six hundred eighty million, nine hundred sixty-five thousand, forty-one".

Divisors: 1 7 49 3529 9721 24703 68047 172921 476329 34305409 240137863 1680965041