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706800640 = 21057133741
BaseRepresentation
bin101010001000001…
…110110000000000
31211020222012012111
4222020032300000
52421420110030
6154045105104
723341464160
oct5210166000
91736865174
10706800640
11332a74867
12178858194
13b3580940
1469c285a0
15420b762a
hex2a20ec00

706800640 has 352 divisors, whose sum is σ = 2195432064. Its totient is φ = 212336640.

The previous prime is 706800631. The next prime is 706800667. The reversal of 706800640 is 46008607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17239020 + ... + 17239060.

Almost surely, 2706800640 is an apocalyptic number.

706800640 is a gapful number since it is divisible by the number (70) 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 706800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097716032).

706800640 is an abundant number, since it is smaller than the sum of its proper divisors (1488631424).

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

706800640 is a wasteful number, since it uses less digits than its factorization.

706800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 706800640 is about 26585.7224840703. The cubic root of 706800640 is about 890.7701283392.

The spelling of 706800640 in words is "seven hundred six million, eight hundred thousand, six hundred forty".