Search a number
-
+
1688075368 = 237191586537
BaseRepresentation
bin110010010011101…
…1111110001101000
311100122102010001221
41210213133301220
511424121402433
6435301151424
756555255350
oct14447376150
94318363057
101688075368
11796969011
123b13bb574
1320b962985
1412029db60
159d2ea72d
hex649dfc68

1688075368 has 32 divisors (see below), whose sum is σ = 3807691200. Its totient is φ = 685383552.

The previous prime is 1688075351. The next prime is 1688075377. The reversal of 1688075368 is 8635708861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792205 + ... + 794332.

It is an arithmetic number, because the mean of its divisors is an integer number (118990350).

Almost surely, 21688075368 is an apocalyptic number.

It is an amenable number.

1688075368 is an abundant number, since it is smaller than the sum of its proper divisors (2119615832).

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

1688075368 is a wasteful number, since it uses less digits than its factorization.

1688075368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586569 (or 1586565 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The square root of 1688075368 is about 41086.1943723193. The cubic root of 1688075368 is about 1190.6860831961.

The spelling of 1688075368 in words is "one billion, six hundred eighty-eight million, seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1586537 3173074 6346148 11105759 12692296 22211518 30144203 44423036 60288406 88846072 120576812 211009421 241153624 422018842 844037684 1688075368