Base | Representation |
---|---|
bin | 111001001110101… |
… | …0110000110000000 |
3 | 11221211101002221000 |
4 | 1302131112012000 |
5 | 12413043422141 |
6 | 514314332000 |
7 | 65405145363 |
oct | 16235260600 |
9 | 4854332830 |
10 | 1920295296 |
11 | 8a5a58307 |
12 | 45712a000 |
13 | 247abb50a |
14 | 14306c0da |
15 | b38bb5b6 |
hex | 72756180 |
1920295296 has 128 divisors (see below), whose sum is σ = 5683154400. Its totient is φ = 638337024.
The previous prime is 1920295283. The next prime is 1920295319. The reversal of 1920295296 is 6925920291.
It is a tau number, because it is divible by the number of its divisors (128).
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 15 ways as a sum of consecutive naturals, for example, 2048940 + ... + 2049876.
Almost surely, 21920295296 is an apocalyptic number.
1920295296 is a gapful number since it is divisible by the number (16) 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 1920295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841577200).
1920295296 is an abundant number, since it is smaller than the sum of its proper divisors (3762859104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1920295296 is an equidigital number, since it uses as much as digits as its factorization.
1920295296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1553 (or 1535 counting only the distinct ones).
The product of its (nonzero) digits is 174960, while the sum is 45.
The square root of 1920295296 is about 43821.1740600363. The cubic root of 1920295296 is about 1242.9567180964.
The spelling of 1920295296 in words is "one billion, nine hundred twenty million, two hundred ninety-five thousand, two hundred ninety-six".
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