Base | Representation |
---|---|
bin | 10110111011110… |
… | …11111010100000 |
3 | 111102000210000100 |
4 | 23131323322200 |
5 | 343223200320 |
6 | 31031422400 |
7 | 4524230040 |
oct | 1335737240 |
9 | 442023010 |
10 | 192396960 |
11 | 9966a758 |
12 | 54524a00 |
13 | 30b24772 |
14 | 1b7a3720 |
15 | 11d56790 |
hex | b77bea0 |
192396960 has 144 divisors (see below), whose sum is σ = 750387456. Its totient is φ = 43974144.
The previous prime is 192396947. The next prime is 192397013. The reversal of 192396960 is 69693291.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
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, 537 + ... + 19623.
It is an arithmetic number, because the mean of its divisors is an integer number (5211024).
Almost surely, 2192396960 is an apocalyptic number.
192396960 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 192396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375193728).
192396960 is an abundant number, since it is smaller than the sum of its proper divisors (557990496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192396960 is a wasteful number, since it uses less digits than its factorization.
192396960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19115 (or 19104 counting only the distinct ones).
The product of its (nonzero) digits is 157464, while the sum is 45.
The square root of 192396960 is about 13870.7231246248. The cubic root of 192396960 is about 577.2971345698.
The spelling of 192396960 in words is "one hundred ninety-two million, three hundred ninety-six thousand, nine hundred sixty".
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