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689909760 = 21232519197
BaseRepresentation
bin101001000111110…
…011000000000000
31210002012001021100
4221013303000000
52403104103020
6152243054400
723045064501
oct5107630000
91702161240
10689909760
11324488461
12173071400
13acc18737
14678acba8
154087ca90
hex291f3000

689909760 has 312 divisors, whose sum is σ = 2530036080. Its totient is φ = 173408256.

The previous prime is 689909749. The next prime is 689909761. The reversal of 689909760 is 67909986.

It is a junction number, because it is equal to n+sod(n) for n = 689909697 and 689909706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689909761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501982 + ... + 3502178.

It is an arithmetic number, because the mean of its divisors is an integer number (8109090).

Almost surely, 2689909760 is an apocalyptic number.

689909760 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 689909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265018040).

689909760 is an abundant number, since it is smaller than the sum of its proper divisors (1840126320).

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

689909760 is a wasteful number, since it uses less digits than its factorization.

689909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 689909760 is about 26266.1333279187. The cubic root of 689909760 is about 883.6170682997.

The spelling of 689909760 in words is "six hundred eighty-nine million, nine hundred nine thousand, seven hundred sixty".