Base | Representation |
---|---|
bin | 10110000011100… |
… | …11101010000000 |
3 | 110220011010222120 |
4 | 23001303222000 |
5 | 334331214404 |
6 | 30205404240 |
7 | 4404445650 |
oct | 1301635200 |
9 | 426133876 |
10 | 185023104 |
11 | 95493662 |
12 | 51b69680 |
13 | 2c442336 |
14 | 1a804360 |
15 | 1139b9d9 |
hex | b073a80 |
185023104 has 128 divisors (see below), whose sum is σ = 594864000. Its totient is φ = 49741824.
The previous prime is 185023081. The next prime is 185023129. The reversal of 185023104 is 401320581.
185023104 is digitally balanced in base 3, 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 (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
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, 43672 + ... + 47720.
It is an arithmetic number, because the mean of its divisors is an integer number (4647375).
Almost surely, 2185023104 is an apocalyptic number.
185023104 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 185023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297432000).
185023104 is an abundant number, since it is smaller than the sum of its proper divisors (409840896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
185023104 is a wasteful number, since it uses less digits than its factorization.
185023104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4090 (or 4078 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 24.
The square root of 185023104 is about 13602.3198021514. The cubic root of 185023104 is about 569.8256407298.
Adding to 185023104 its reverse (401320581), we get a palindrome (586343685).
The spelling of 185023104 in words is "one hundred eighty-five million, twenty-three thousand, one hundred four".
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