Base | Representation |
---|---|
bin | 10111100111001… |
… | …01111001000000 |
3 | 111210201012100010 |
4 | 23303211321000 |
5 | 401201331140 |
6 | 31353224520 |
7 | 4623412662 |
oct | 1363457100 |
9 | 453635303 |
10 | 198073920 |
11 | a1897960 |
12 | 56402140 |
13 | 32061705 |
14 | 1c440532 |
15 | 125c8880 |
hex | bce5e40 |
198073920 has 112 divisors (see below), whose sum is σ = 686092608. Its totient is φ = 48015360.
The previous prime is 198073901. The next prime is 198073927. The reversal of 198073920 is 29370891.
198073920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (198073927) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182 + ... + 19938.
Almost surely, 2198073920 is an apocalyptic number.
198073920 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 198073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343046304).
198073920 is an abundant number, since it is smaller than the sum of its proper divisors (488018688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198073920 is a wasteful number, since it uses less digits than its factorization.
198073920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18788 (or 18778 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 39.
The square root of 198073920 is about 14073.8736671891. The cubic root of 198073920 is about 582.9201914551.
The spelling of 198073920 in words is "one hundred ninety-eight million, seventy-three thousand, nine hundred twenty".
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