Base | Representation |
---|---|
bin | 10010010011111100… |
… | …01100001100100000 |
3 | 221101010201020101001 |
4 | 21021332030030200 |
5 | 130113212133430 |
6 | 4303303521344 |
7 | 465422621323 |
oct | 111176141440 |
9 | 27333636331 |
10 | 9830974240 |
11 | 41953684aa |
12 | 1aa4459254 |
13 | c08989729 |
14 | 6939247ba |
15 | 3c81213ca |
hex | 249f8c320 |
9830974240 has 96 divisors (see below), whose sum is σ = 23989570416. Its totient is φ = 3805102080.
The previous prime is 9830974211. The next prime is 9830974261. The reversal of 9830974240 is 424790389.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 8027443216 + 1803531024 = 89596^2 + 42468^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611100 + ... + 626980.
Almost surely, 29830974240 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 9830974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994785208).
9830974240 is an abundant number, since it is smaller than the sum of its proper divisors (14158596176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9830974240 is a wasteful number, since it uses less digits than its factorization.
9830974240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16022 (or 16014 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 46.
The square root of 9830974240 is about 99151.2694825437. The cubic root of 9830974240 is about 2142.2271511671.
The spelling of 9830974240 in words is "nine billion, eight hundred thirty million, nine hundred seventy-four thousand, two hundred forty".
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