| Base | Representation |
|---|---|
| bin | 10110111000110… |
| … | …11011110000000 |
| 3 | 111101021201010020 |
| 4 | 23130123132000 |
| 5 | 343123030140 |
| 6 | 31015133440 |
| 7 | 4520663235 |
| oct | 1334333600 |
| 9 | 441251106 |
| 10 | 192001920 |
| 11 | 9941a980 |
| 12 | 54374280 |
| 13 | 30a16a06 |
| 14 | 1b6dd78c |
| 15 | 11cc96d0 |
| hex | b71b780 |
192001920 has 128 divisors (see below), whose sum is σ = 667716480. Its totient is φ = 46540800.
The previous prime is 192001919. The next prime is 192001921. The reversal of 192001920 is 29100291.
192001920 is digitally balanced in base 2, 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 (192001919) and next prime (192001921).
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 (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (192001921) 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, 16575 + ... + 25665.
It is an arithmetic number, because the mean of its divisors is an integer number (5216535).
Almost surely, 2192001920 is an apocalyptic number.
192001920 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 192001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333858240).
192001920 is an abundant number, since it is smaller than the sum of its proper divisors (475714560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192001920 is a wasteful number, since it uses less digits than its factorization.
192001920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9124 (or 9112 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 24.
The square root of 192001920 is about 13856.4757424101. The cubic root of 192001920 is about 576.9017511160.
The spelling of 192001920 in words is "one hundred ninety-two million, one thousand, nine hundred twenty".
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