Base | Representation |
---|---|
bin | 101010011000001… |
… | …111010010000000 |
3 | 1211112212101200200 |
4 | 222120033102000 |
5 | 2424003401440 |
6 | 154315045200 |
7 | 23422242621 |
oct | 5230172200 |
9 | 1745771620 |
10 | 710997120 |
11 | 335380729 |
12 | 17a140800 |
13 | b43bca72 |
14 | 6a5dba48 |
15 | 42645c30 |
hex | 2a60f480 |
710997120 has 384 divisors, whose sum is σ = 2667965040. Its totient is φ = 173801472.
The previous prime is 710997097. The next prime is 710997127. The reversal of 710997120 is 21799017.
It can be written as a sum of positive squares in 8 ways, for example, as 516561984 + 194435136 = 22728^2 + 13944^2 .
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (710997127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5189692 + ... + 5189828.
Almost surely, 2710997120 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 710997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333982520).
710997120 is an abundant number, since it is smaller than the sum of its proper divisors (1956967920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
710997120 is a wasteful number, since it uses less digits than its factorization.
710997120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 7938, while the sum is 36.
The square root of 710997120 is about 26664.5292476728. The cubic root of 710997120 is about 892.5295708490.
It can be divided in two parts, 710997 and 120, that added together give a palindrome (711117).
The spelling of 710997120 in words is "seven hundred ten million, nine hundred ninety-seven thousand, one hundred twenty".
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