Base | Representation |
---|---|
bin | 111011011110011… |
… | …010100100111000 |
3 | 2120112120221221200 |
4 | 323132122210320 |
5 | 4020421011140 |
6 | 243002534200 |
7 | 33504256134 |
oct | 7336324470 |
9 | 2515527850 |
10 | 997828920 |
11 | 472280700 |
12 | 23a207360 |
13 | 12b959c1a |
14 | 967443c4 |
15 | 5c903030 |
hex | 3b79a938 |
997828920 has 144 divisors (see below), whose sum is σ = 3564713880. Its totient is φ = 241887360.
The previous prime is 997828903. The next prime is 997828963. The reversal of 997828920 is 29828799.
It is a congruent number.
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 35 ways as a sum of consecutive naturals, for example, 32107 + ... + 55013.
Almost surely, 2997828920 is an apocalyptic number.
997828920 is a gapful number since it is divisible by the number (90) 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 997828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782356940).
997828920 is an abundant number, since it is smaller than the sum of its proper divisors (2566884960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
997828920 is a wasteful number, since it uses less digits than its factorization.
997828920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22946 (or 22928 counting only the distinct ones).
The product of its (nonzero) digits is 1306368, while the sum is 54.
The square root of 997828920 is about 31588.4301604242. The cubic root of 997828920 is about 999.2757823020.
The spelling of 997828920 in words is "nine hundred ninety-seven million, eight hundred twenty-eight thousand, nine hundred twenty".
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