Base | Representation |
---|---|
bin | 10111100111010… |
… | …11101010000000 |
3 | 111210202101201210 |
4 | 23303223222000 |
5 | 401203110121 |
6 | 31353530120 |
7 | 4623541560 |
oct | 1363535200 |
9 | 453671653 |
10 | 198097536 |
11 | a190367a |
12 | 56413940 |
13 | 3206c3a0 |
14 | 1c448da0 |
15 | 125d0876 |
hex | bceba80 |
198097536 has 128 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 52236288.
The previous prime is 198097469. The next prime is 198097573. The reversal of 198097536 is 635790891.
198097536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32110 + ... + 37778.
It is an arithmetic number, because the mean of its divisors is an integer number (5060475).
Almost surely, 2198097536 is an apocalyptic number.
198097536 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 198097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).
198097536 is an abundant number, since it is smaller than the sum of its proper divisors (449643264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198097536 is a wasteful number, since it uses less digits than its factorization.
198097536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5706 (or 5694 counting only the distinct ones).
The product of its (nonzero) digits is 408240, while the sum is 48.
The square root of 198097536 is about 14074.7126436031. The cubic root of 198097536 is about 582.9433573791.
The spelling of 198097536 in words is "one hundred ninety-eight million, ninety-seven thousand, five hundred thirty-six".
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