Base | Representation |
---|---|
bin | 10110100111001… |
… | …11001111000000 |
3 | 111012221021212210 |
4 | 23103213033000 |
5 | 342030101231 |
6 | 30453422120 |
7 | 4462226310 |
oct | 1323471700 |
9 | 435837783 |
10 | 189690816 |
11 | 98091577 |
12 | 5363a940 |
13 | 303b7ab3 |
14 | 1b29b440 |
15 | 119bea46 |
hex | b4e73c0 |
189690816 has 112 divisors (see below), whose sum is σ = 584630784. Its totient is φ = 53154816.
The previous prime is 189690799. The next prime is 189690817. The reversal of 189690816 is 618096981.
189690816 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 (112).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (189690817) 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, 69901 + ... + 72563.
Almost surely, 2189690816 is an apocalyptic number.
189690816 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 189690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292315392).
189690816 is an abundant number, since it is smaller than the sum of its proper divisors (394939968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189690816 is a wasteful number, since it uses less digits than its factorization.
189690816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2738 (or 2728 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 48.
The square root of 189690816 is about 13772.8289033154. The cubic root of 189690816 is about 574.5777022778.
The spelling of 189690816 in words is "one hundred eighty-nine million, six hundred ninety thousand, eight hundred sixteen".
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