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1680608980 = 22584030449
BaseRepresentation
bin110010000101100…
…0000111011010100
311100010100210010001
41210023000323110
511420213441410
6434433141044
756434640431
oct14413007324
94303323101
101680608980
11792729446
123aa9ba784
1320a24a3ab
1411d2b8b88
159c82333a
hex642c0ed4

1680608980 has 12 divisors (see below), whose sum is σ = 3529278900. Its totient is φ = 672243584.

The previous prime is 1680608927. The next prime is 1680608981. The reversal of 1680608980 is 898060861.

It can be written as a sum of positive squares in 2 ways, for example, as 1247219856 + 433389124 = 35316^2 + 20818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1680608980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680608981) 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, 42015205 + ... + 42015244.

It is an arithmetic number, because the mean of its divisors is an integer number (294106575).

Almost surely, 21680608980 is an apocalyptic number.

1680608980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680608980 is an abundant number, since it is smaller than the sum of its proper divisors (1848669920).

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

1680608980 is a wasteful number, since it uses less digits than its factorization.

1680608980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84030458 (or 84030456 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1680608980 is about 40995.2311860782. The cubic root of 1680608980 is about 1188.9280132633.

The spelling of 1680608980 in words is "one billion, six hundred eighty million, six hundred eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 84030449 168060898 336121796 420152245 840304490 1680608980