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689630760 = 233457132339
BaseRepresentation
bin101001000110101…
…110111000101000
31210001122212120000
4221012232320220
52403021141020
6152233103000
723042523210
oct5106567050
91701585500
10689630760
11324307885
12172b57a60
13acb4b750
1467839240
1540825090
hex291aee28

689630760 has 320 divisors, whose sum is σ = 2854051200. Its totient is φ = 145442304.

The previous prime is 689630749. The next prime is 689630779. The reversal of 689630760 is 67036986.

689630760 is a `hidden beast` number, since 6 + 8 + 9 + 630 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293671 + ... + 296009.

It is an arithmetic number, because the mean of its divisors is an integer number (8918910).

Almost surely, 2689630760 is an apocalyptic number.

689630760 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 689630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427025600).

689630760 is an abundant number, since it is smaller than the sum of its proper divisors (2164420440).

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

689630760 is a wasteful number, since it uses less digits than its factorization.

689630760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 689630760 is about 26260.8217693202. The cubic root of 689630760 is about 883.4979404485.

The spelling of 689630760 in words is "six hundred eighty-nine million, six hundred thirty thousand, seven hundred sixty".