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700960000 = 285413337
BaseRepresentation
bin101001110001111…
…100110100000000
31210211222110100111
4221301330310000
52413421210000
6153320001104
723241030106
oct5161746400
91724873314
10700960000
1132a745694
12176900194
13b22b7340
1469147c76
1541811cba
hex29c7cd00

700960000 has 180 divisors, whose sum is σ = 1888498612. Its totient is φ = 258048000.

The previous prime is 700959979. The next prime is 700960009. The reversal of 700960000 is 69007.

It can be written as a sum of positive squares in 10 ways, for example, as 676832256 + 24127744 = 26016^2 + 4912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700960009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079832 + ... + 2080168.

Almost surely, 2700960000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944249306).

700960000 is an abundant number, since it is smaller than the sum of its proper divisors (1187538612).

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

700960000 is an equidigital number, since it uses as much as digits as its factorization.

700960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 700960000 is about 26475.6491893967. The cubic root of 700960000 is about 888.3097153023.

The spelling of 700960000 in words is "seven hundred million, nine hundred sixty thousand".