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680922816 = 26372157461
BaseRepresentation
bin101000100101100…
…000111011000000
31202110021110111120
4220211200323000
52343304012231
6151322312240
722605514500
oct5045407300
91673243446
10680922816
1131a3aa432
12170058680
13ab0c0012
146660da00
153eba4d96
hex28960ec0

680922816 has 168 divisors, whose sum is σ = 2113672176. Its totient is φ = 192890880.

The previous prime is 680922799. The next prime is 680922821. The reversal of 680922816 is 618229086.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476826 + ... + 1477286.

It is an arithmetic number, because the mean of its divisors is an integer number (12581382).

Almost surely, 2680922816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056836088).

680922816 is an abundant number, since it is smaller than the sum of its proper divisors (1432749360).

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

680922816 is a wasteful number, since it uses less digits than its factorization.

680922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 680922816 is about 26094.4978108413. The cubic root of 680922816 is about 879.7635452861.

The spelling of 680922816 in words is "six hundred eighty million, nine hundred twenty-two thousand, eight hundred sixteen".