Base | Representation |
---|---|
bin | 10110111110000… |
… | …11011100000000 |
3 | 111102120122212201 |
4 | 23133003130000 |
5 | 343312034140 |
6 | 31042002544 |
7 | 4526560123 |
oct | 1337033400 |
9 | 442518781 |
10 | 192689920 |
11 | 9984a875 |
12 | 54646454 |
13 | 30bc7c07 |
14 | 1b83c3ba |
15 | 11db349a |
hex | b7c3700 |
192689920 has 108 divisors (see below), whose sum is σ = 480687480. Its totient is φ = 74002432.
The previous prime is 192689899. The next prime is 192689933. The reversal of 192689920 is 29986291.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076391 + ... + 1076569.
It is an arithmetic number, because the mean of its divisors is an integer number (4450810).
Almost surely, 2192689920 is an apocalyptic number.
192689920 is a gapful number since it is divisible by the number (10) 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 192689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240343740).
192689920 is an abundant number, since it is smaller than the sum of its proper divisors (287997560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192689920 is an equidigital number, since it uses as much as digits as its factorization.
192689920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258 (or 215 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 46.
The square root of 192689920 is about 13881.2794799327. The cubic root of 192689920 is about 577.5899999036.
The spelling of 192689920 in words is "one hundred ninety-two million, six hundred eighty-nine thousand, nine hundred twenty".
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