Base | Representation |
---|---|
bin | 10110111011010… |
… | …00001010000000 |
3 | 111101212200000000 |
4 | 23131220022000 |
5 | 343213103112 |
6 | 31030000000 |
7 | 4523442066 |
oct | 1335501200 |
9 | 441780000 |
10 | 192316032 |
11 | 99614977 |
12 | 544a6000 |
13 | 30ac698c |
14 | 1b782036 |
15 | 11d3c7dc |
hex | b768280 |
192316032 has 144 divisors (see below), whose sum is σ = 577174650. Its totient is φ = 63825408.
The previous prime is 192316021. The next prime is 192316049. The reversal of 192316032 is 230613291.
It can be written as a sum of positive squares in only one way, i.e., 121352256 + 70963776 = 11016^2 + 8424^2 .
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 (27).
It is a junction number, because it is equal to n+sod(n) for n = 192315987 and 192316005.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839694 + ... + 839922.
Almost surely, 2192316032 is an apocalyptic number.
192316032 is a gapful number since it is divisible by the number (12) 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 192316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288587325).
192316032 is an abundant number, since it is smaller than the sum of its proper divisors (384858618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192316032 is an frugal number, since it uses more digits than its factorization.
192316032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
The square root of 192316032 is about 13867.8055942532. The cubic root of 192316032 is about 577.2161803202.
It can be divided in two parts, 1923 and 16032, that added together give a triangular number (17955 = T189).
The spelling of 192316032 in words is "one hundred ninety-two million, three hundred sixteen thousand, thirty-two".
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