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1680194640 = 24357000811
BaseRepresentation
bin110010000100101…
…1011110001010000
311100002120201202010
41210021123301100
511420112212030
6434420222520
756431263435
oct14411336120
94302521663
101680194640
11792476113
123aa83aa40
1320a133917
1411d20bb8c
159c7906b0
hex6425bc50

1680194640 has 40 divisors (see below), whose sum is σ = 5208604128. Its totient is φ = 448051840.

The previous prime is 1680194639. The next prime is 1680194653. The reversal of 1680194640 is 464910861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3500166 + ... + 3500645.

Almost surely, 21680194640 is an apocalyptic number.

1680194640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680194640 is an abundant number, since it is smaller than the sum of its proper divisors (3528409488).

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

1680194640 is a wasteful number, since it uses less digits than its factorization.

1680194640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000827 (or 7000821 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1680194640 is about 40990.1773599481. The cubic root of 1680194640 is about 1188.8302985007.

The spelling of 1680194640 in words is "one billion, six hundred eighty million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7000811 14001622 21002433 28003244 35004055 42004866 56006488 70008110 84009732 105012165 112012976 140016220 168019464 210024330 280032440 336038928 420048660 560064880 840097320 1680194640