| Base | Representation |
|---|---|
| bin | 10111110101100… |
| … | …10001001010000 |
| 3 | 111221020222100100 |
| 4 | 23322302021100 |
| 5 | 402142142440 |
| 6 | 31501452400 |
| 7 | 4645424124 |
| oct | 1372621120 |
| 9 | 457228310 |
| 10 | 199959120 |
| 11 | a2965279 |
| 12 | 56b71100 |
| 13 | 3257180a |
| 14 | 1c7b1584 |
| 15 | 1284c230 |
| hex | beb2250 |
199959120 has 120 divisors (see below), whose sum is σ = 675956736. Its totient is φ = 52971264.
The previous prime is 199959119. The next prime is 199959121. The reversal of 199959120 is 21959991.
199959120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (199959119) and next prime (199959121).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (199959121) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 119409 + ... + 121071.
Almost surely, 2199959120 is an apocalyptic number.
199959120 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 199959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337978368).
199959120 is an abundant number, since it is smaller than the sum of its proper divisors (475997616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
199959120 is a wasteful number, since it uses less digits than its factorization.
199959120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1849 (or 1840 counting only the distinct ones).
The product of its (nonzero) digits is 65610, while the sum is 45.
The square root of 199959120 is about 14140.6902236065. The cubic root of 199959120 is about 584.7637003125.
The spelling of 199959120 in words is "one hundred ninety-nine million, nine hundred fifty-nine thousand, one hundred twenty".
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