Base | Representation |
---|---|
bin | 10110100001111… |
… | …00110111000000 |
3 | 111011121211121021 |
4 | 23100330313000 |
5 | 341340233320 |
6 | 30430435224 |
7 | 4453261612 |
oct | 1320746700 |
9 | 434554537 |
10 | 188992960 |
11 | 97755232 |
12 | 53362b14 |
13 | 30202270 |
14 | 1b158db2 |
15 | 118d2daa |
hex | b43cdc0 |
188992960 has 112 divisors (see below), whose sum is σ = 489277152. Its totient is φ = 69120000.
The previous prime is 188992939. The next prime is 188992967. The reversal of 188992960 is 69299881.
It is a Harshad number since it is a multiple of its sum of digits (52).
It is a junction number, because it is equal to n+sod(n) for n = 188992898 and 188992907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (188992967) 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 15 ways as a sum of consecutive naturals, for example, 752835 + ... + 753085.
It is an arithmetic number, because the mean of its divisors is an integer number (4368546).
Almost surely, 2188992960 is an apocalyptic number.
188992960 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 188992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244638576).
188992960 is an abundant number, since it is smaller than the sum of its proper divisors (300284192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
188992960 is a wasteful number, since it uses less digits than its factorization.
188992960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 462 (or 452 counting only the distinct ones).
The product of its (nonzero) digits is 559872, while the sum is 52.
The square root of 188992960 is about 13747.4710401586. The cubic root of 188992960 is about 573.8722293276.
It can be divided in two parts, 1889 and 92960, that added together give a palindrome (94849).
The spelling of 188992960 in words is "one hundred eighty-eight million, nine hundred ninety-two thousand, nine hundred sixty".
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