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689200680 = 2335721931199
BaseRepresentation
bin101001000101000…
…101111000101000
31210000212000121010
4221011011320220
52402413410210
6152215543520
723036052300
oct5105057050
91700760533
10689200680
11324043743
1217298aba0
13aca2aa6c
1467766600
154078c920
hex29145e28

689200680 has 384 divisors, whose sum is σ = 2626560000. Its totient is φ = 143700480.

The previous prime is 689200667. The next prime is 689200703. The reversal of 689200680 is 86002986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3463221 + ... + 3463419.

It is an arithmetic number, because the mean of its divisors is an integer number (6840000).

Almost surely, 2689200680 is an apocalyptic number.

689200680 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 689200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280000).

689200680 is an abundant number, since it is smaller than the sum of its proper divisors (1937359320).

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

689200680 is a wasteful number, since it uses less digits than its factorization.

689200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 689200680 is about 26252.6318680623. The cubic root of 689200680 is about 883.3142412708.

The spelling of 689200680 in words is "six hundred eighty-nine million, two hundred thousand, six hundred eighty".