Search a number
-
+
680841216 = 21232112373
BaseRepresentation
bin101000100101001…
…101000000000000
31202110010022120100
4220211031000000
52343243404331
6151320442400
722605024546
oct5045150000
91673108510
10680841216
1131a3540a0
12170019400
13ab091b33
14665cbd96
153eb8aae6
hex2894d000

680841216 has 312 divisors, whose sum is σ = 2269365696. Its totient is φ = 194641920.

The previous prime is 680841209. The next prime is 680841229. The reversal of 680841216 is 612148086.

It is a super-2 number, since 2×6808412162 = 927089522808717312, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9326556 + ... + 9326628.

It is an arithmetic number, because the mean of its divisors is an integer number (7273608).

Almost surely, 2680841216 is an apocalyptic number.

680841216 is a gapful number since it is divisible by the number (66) 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 680841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134682848).

680841216 is an abundant number, since it is smaller than the sum of its proper divisors (1588524480).

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

680841216 is a wasteful number, since it uses less digits than its factorization.

680841216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 680841216 is about 26092.9342159904. The cubic root of 680841216 is about 879.7284010321.

The spelling of 680841216 in words is "six hundred eighty million, eight hundred forty-one thousand, two hundred sixteen".