Base | Representation |
---|---|
bin | 101001010000010… |
… | …001010000000000 |
3 | 1210020100212222200 |
4 | 221100101100000 |
5 | 2404141141231 |
6 | 152402433200 |
7 | 23103005046 |
oct | 5120212000 |
9 | 1706325880 |
10 | 692130816 |
11 | 325765143 |
12 | 173962800 |
13 | b0515680 |
14 | 67cca396 |
15 | 40b6abe6 |
hex | 29411400 |
692130816 has 264 divisors, whose sum is σ = 2212970760. Its totient is φ = 207028224.
The previous prime is 692130797. The next prime is 692130833. The reversal of 692130816 is 618031296.
It can be written as a sum of positive squares in 4 ways, for example, as 111513600 + 580617216 = 10560^2 + 24096^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349770 + ... + 6349878.
It is an arithmetic number, because the mean of its divisors is an integer number (8382465).
Almost surely, 2692130816 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 692130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106485380).
692130816 is an abundant number, since it is smaller than the sum of its proper divisors (1520839944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
692130816 is a wasteful number, since it uses less digits than its factorization.
692130816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 692130816 is about 26308.3791975104. The cubic root of 692130816 is about 884.5642746395.
The spelling of 692130816 in words is "six hundred ninety-two million, one hundred thirty thousand, eight hundred sixteen".
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