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1680315804 = 2232216121599
BaseRepresentation
bin110010000100111…
…1001010110011100
311100002210212221200
41210021321112130
511420130101204
6434422555500
756432306616
oct14411712634
94302725850
101680315804
11792549152
123aa898b90
1320a176b0b
1411d23ddb6
159c7b6539
hex6427959c

1680315804 has 36 divisors (see below), whose sum is σ = 4249627200. Its totient is φ = 559820160.

The previous prime is 1680315803. The next prime is 1680315809. The reversal of 1680315804 is 4085130861.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×16803158042 = 5646922402344332832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680315803) 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, 66997 + ... + 88595.

It is an arithmetic number, because the mean of its divisors is an integer number (118045200).

Almost surely, 21680315804 is an apocalyptic number.

It is an amenable number.

1680315804 is an abundant number, since it is smaller than the sum of its proper divisors (2569311396).

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

1680315804 is a wasteful number, since it uses less digits than its factorization.

1680315804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23770 (or 23765 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1680315804 is about 40991.6552971455. The cubic root of 1680315804 is about 1188.8588745495.

The spelling of 1680315804 in words is "one billion, six hundred eighty million, three hundred fifteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 2161 4322 6483 8644 12966 19449 21599 25932 38898 43198 64797 77796 86396 129594 194391 259188 388782 777564 46675439 93350878 140026317 186701756 280052634 420078951 560105268 840157902 1680315804