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1680070240 = 25510500439
BaseRepresentation
bin110010000100011…
…1101011001100000
311100002100102002201
41210020331121200
511420044221430
6434413422544
756430234652
oct14410753140
94302312081
101680070240
117923a0702
123aa79aa54
1320a0bc104
1411d1b86d2
159c7688ca
hex6423d660

1680070240 has 24 divisors (see below), whose sum is σ = 3969166320. Its totient is φ = 672028032.

The previous prime is 1680070229. The next prime is 1680070241. The reversal of 1680070240 is 420700861.

It is a super-2 number, since 2×16800702402 = 5645272022667315200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1680070199 and 1680070208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680070241) 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 3 ways as a sum of consecutive naturals, for example, 5250060 + ... + 5250379.

It is an arithmetic number, because the mean of its divisors is an integer number (165381930).

Almost surely, 21680070240 is an apocalyptic number.

1680070240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680070240 is an abundant number, since it is smaller than the sum of its proper divisors (2289096080).

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

1680070240 is a wasteful number, since it uses less digits than its factorization.

1680070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500454 (or 10500446 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1680070240 is about 40988.6598951466. The cubic root of 1680070240 is about 1188.8009578248.

The spelling of 1680070240 in words is "one billion, six hundred eighty million, seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10500439 21000878 42001756 52502195 84003512 105004390 168007024 210008780 336014048 420017560 840035120 1680070240