Base | Representation |
---|---|
bin | 10111100110111… |
… | …00111000001000 |
3 | 111210122022200201 |
4 | 23303130320020 |
5 | 401144141000 |
6 | 31352341544 |
7 | 4623200230 |
oct | 1363347010 |
9 | 453568621 |
10 | 198037000 |
11 | a1872147 |
12 | 563a48b4 |
13 | 3204a975 |
14 | 1c430cc0 |
15 | 125bc96a |
hex | bcdce08 |
198037000 has 128 divisors (see below), whose sum is σ = 557856000. Its totient is φ = 64281600.
The previous prime is 198036997. The next prime is 198037001. The reversal of 198037000 is 730891.
198037000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1980370003 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 198037000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198037001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132256 + ... + 133744.
It is an arithmetic number, because the mean of its divisors is an integer number (4358250).
Almost surely, 2198037000 is an apocalyptic number.
198037000 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 198037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278928000).
198037000 is an abundant number, since it is smaller than the sum of its proper divisors (359819000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198037000 is a wasteful number, since it uses less digits than its factorization.
198037000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1536 (or 1522 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 28.
The square root of 198037000 is about 14072.5619558061. The cubic root of 198037000 is about 582.8839713901.
Adding to 198037000 its reverse (730891), we get a palindrome (198767891).
The spelling of 198037000 in words is "one hundred ninety-eight million, thirty-seven thousand".
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