Base | Representation |
---|---|
bin | 1110101011111… |
… | …00011111001010 |
3 | 22120210212102110 |
4 | 13111330133022 |
5 | 223014141130 |
6 | 20120243150 |
7 | 3024061053 |
oct | 725743712 |
9 | 276725373 |
10 | 123193290 |
11 | 635a2a40 |
12 | 353104b6 |
13 | 1c6a454c |
14 | 1250b72a |
15 | ac36ab0 |
hex | 757c7ca |
123193290 has 64 divisors (see below), whose sum is σ = 336586752. Its totient is φ = 28564800.
The previous prime is 123193261. The next prime is 123193297. The reversal of 123193290 is 92391321.
It is a happy number.
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (123193297) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526 + ... + 15705.
It is an arithmetic number, because the mean of its divisors is an integer number (5259168).
Almost surely, 2123193290 is an apocalyptic number.
123193290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 123193290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168293376).
123193290 is an abundant number, since it is smaller than the sum of its proper divisors (213393462).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123193290 is a wasteful number, since it uses less digits than its factorization.
123193290 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16275.
The product of its (nonzero) digits is 2916, while the sum is 30.
The square root of 123193290 is about 11099.2472717748. The cubic root of 123193290 is about 497.5793531831.
The spelling of 123193290 in words is "one hundred twenty-three million, one hundred ninety-three thousand, two hundred ninety".
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