Base | Representation |
---|---|
bin | 10101101100011… |
… | …10000110000000 |
3 | 110200102211101210 |
4 | 22312032012000 |
5 | 333042020124 |
6 | 30020330120 |
7 | 4336565310 |
oct | 1266160600 |
9 | 420384353 |
10 | 181985664 |
11 | 937a9583 |
12 | 50b43940 |
13 | 2b91a933 |
14 | 1a253440 |
15 | 10e9ba29 |
hex | ad8e180 |
181985664 has 128 divisors (see below), whose sum is σ = 560102400. Its totient is φ = 51277824.
The previous prime is 181985659. The next prime is 181985681. The reversal of 181985664 is 466589181.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
Its product of digits (414720) is a multiple of the sum of its prime factors (960).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211924 + ... + 212780.
It is an arithmetic number, because the mean of its divisors is an integer number (4375800).
Almost surely, 2181985664 is an apocalyptic number.
181985664 is a gapful number since it is divisible by the number (14) 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 181985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280051200).
181985664 is an abundant number, since it is smaller than the sum of its proper divisors (378116736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
181985664 is an equidigital number, since it uses as much as digits as its factorization.
181985664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 960 (or 948 counting only the distinct ones).
The product of its digits is 414720, while the sum is 48.
The square root of 181985664 is about 13490.2062252584. The cubic root of 181985664 is about 566.6902307771.
The spelling of 181985664 in words is "one hundred eighty-one million, nine hundred eighty-five thousand, six hundred sixty-four".
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