Base | Representation |
---|---|
bin | 110001011110101… |
… | …110001111101000 |
3 | 2010212001100022200 |
4 | 301132232033220 |
5 | 3200003343240 |
6 | 214212420200 |
7 | 26400023265 |
oct | 6136561750 |
9 | 2125040280 |
10 | 830137320 |
11 | 396655501 |
12 | 1b2017660 |
13 | 102ca551c |
14 | 7c37226c |
15 | 4cd2b930 |
hex | 317ae3e8 |
830137320 has 96 divisors (see below), whose sum is σ = 2708989920. Its totient is φ = 220464000.
The previous prime is 830137271. The next prime is 830137327. The reversal of 830137320 is 23731038.
830137320 is a `hidden beast` number, since 8 + 301 + 37 + 320 = 666.
It is not an unprimeable number, because it can be changed into a prime (830137327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85767 + ... + 94953.
It is an arithmetic number, because the mean of its divisors is an integer number (28218645).
Almost surely, 2830137320 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 830137320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354494960).
830137320 is an abundant number, since it is smaller than the sum of its proper divisors (1878852600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
830137320 is a wasteful number, since it uses less digits than its factorization.
830137320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9455 (or 9448 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 830137320 is about 28812.1037066022. The cubic root of 830137320 is about 939.8314621634.
Adding to 830137320 its reverse (23731038), we get a palindrome (853868358).
The spelling of 830137320 in words is "eight hundred thirty million, one hundred thirty-seven thousand, three hundred twenty".
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