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680889600 = 28325211821
BaseRepresentation
bin101000100101011…
…000110100000000
31202110012202221100
4220211120310000
52343301431400
6151321454400
722605315606
oct5045306400
91673182840
10680889600
1131a387486
12170041400
13ab0aab71
1466601876
153eb9a100
hex28958d00

680889600 has 162 divisors, whose sum is σ = 2434539926. Its totient is φ = 181555200.

The previous prime is 680889571. The next prime is 680889607. The reversal of 680889600 is 6988086.

It can be written as a sum of positive squares in 3 ways, for example, as 1557504 + 679332096 = 1248^2 + 26064^2 .

It is a super-2 number, since 2×6808896002 = 927221294776320000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680889607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51690 + ... + 63510.

Almost surely, 2680889600 is an apocalyptic number.

680889600 is a gapful number since it is divisible by the number (60) 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 680889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217269963).

680889600 is an abundant number, since it is smaller than the sum of its proper divisors (1753650326).

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

680889600 is a wasteful number, since it uses less digits than its factorization.

680889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11853 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 680889600 is about 26093.8613470678. The cubic root of 680889600 is about 879.7492398463.

The spelling of 680889600 in words is "six hundred eighty million, eight hundred eighty-nine thousand, six hundred".