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1680098112 = 26357112361
BaseRepresentation
bin110010000100100…
…0100001101000000
311100002101211100000
41210021010031000
511420101114422
6434414200000
756430412140
oct14411041500
94302354300
101680098112
1179240a640
123aa7b3000
1320a0cb9c4
1411d1c4920
159c771cac
hex64244340

1680098112 has 672 divisors, whose sum is σ = 6603577344. Its totient is φ = 410572800.

The previous prime is 1680098111. The next prime is 1680098129. The reversal of 1680098112 is 2118900861.

It is a tau number, because it is divible by the number of its divisors (672).

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 (1680098111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27542562 + ... + 27542622.

It is an arithmetic number, because the mean of its divisors is an integer number (9826752).

Almost surely, 21680098112 is an apocalyptic number.

1680098112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301788672).

1680098112 is an abundant number, since it is smaller than the sum of its proper divisors (4923479232).

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

1680098112 is a wasteful number, since it uses less digits than its factorization.

1680098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1680098112 is about 40988.9998902144. Note that the first 3 decimals coincide. The cubic root of 1680098112 is about 1188.8075317716.

Adding to 1680098112 its reverse (2118900861), we get a palindrome (3798998973).

It can be divided in two parts, 168009 and 8112, that added together give a triangular number (176121 = T593).

The spelling of 1680098112 in words is "one billion, six hundred eighty million, ninety-eight thousand, one hundred twelve".