Search a number
-
+
700096320 = 263257211241
BaseRepresentation
bin101001101110101…
…001111101000000
31210210100120121100
4221232221331000
52413211040240
6153245254400
723230502100
oct5156517500
91723316540
10700096320
1132a205800
12176564400
13b20741a1
1468da1200
15416e0e30
hex29ba9f40

700096320 has 756 divisors, whose sum is σ = 3154090212. Its totient is φ = 141926400.

The previous prime is 700096291. The next prime is 700096321. The reversal of 700096320 is 23690007.

700096320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 577152576 = 11088^2 + 24024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700096321) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17075500 + ... + 17075540.

It is an arithmetic number, because the mean of its divisors is an integer number (4172077).

Almost surely, 2700096320 is an apocalyptic number.

700096320 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 700096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577045106).

700096320 is an abundant number, since it is smaller than the sum of its proper divisors (2453993892).

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

700096320 is a wasteful number, since it uses less digits than its factorization.

700096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 700096320 is about 26459.3333249347. Note that the first 4 decimals coincide. The cubic root of 700096320 is about 887.9447250717.

The spelling of 700096320 in words is "seven hundred million, ninety-six thousand, three hundred twenty".