Search a number
-
+
1680793884 = 22327211194797
BaseRepresentation
bin110010000101110…
…1110000100011100
311100010201011202100
41210023232010130
511420240401014
6434441125100
756436340500
oct14413560434
94303634670
101680793884
11792845360
123aaa89790
1320a2b35c3
1411d326300
159c85d009
hex642ee11c

1680793884 has 432 divisors, whose sum is σ = 5855915520. Its totient is φ = 400619520.

The previous prime is 1680793871. The next prime is 1680793889. The reversal of 1680793884 is 4883970861.

It is a self number, because there is not a number n which added to its sum of digits gives 1680793884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680793889) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17327724 + ... + 17327820.

It is an arithmetic number, because the mean of its divisors is an integer number (13555360).

Almost surely, 21680793884 is an apocalyptic number.

1680793884 is a gapful number since it is divisible by the number (14) 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 1680793884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

1680793884 is an abundant number, since it is smaller than the sum of its proper divisors (4175121636).

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

1680793884 is a wasteful number, since it uses less digits than its factorization.

1680793884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1680793884 is about 40997.4863131875. The cubic root of 1680793884 is about 1188.9716144194.

The spelling of 1680793884 in words is "one billion, six hundred eighty million, seven hundred ninety-three thousand, eight hundred eighty-four".