Base | Representation |
---|---|
bin | 1110101100111… |
… | …00001100000000 |
3 | 22121001110112120 |
4 | 13112130030000 |
5 | 223032320021 |
6 | 20123124240 |
7 | 3025141446 |
oct | 726341400 |
9 | 277043476 |
10 | 123323136 |
11 | 63681552 |
12 | 35373680 |
13 | 1c71b691 |
14 | 12542b96 |
15 | ac602c6 |
hex | 759c300 |
123323136 has 72 divisors (see below), whose sum is σ = 331618560. Its totient is φ = 40682496.
The previous prime is 123323119. The next prime is 123323147. The reversal of 123323136 is 631323321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
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 7 ways as a sum of consecutive naturals, for example, 78325 + ... + 79883.
Almost surely, 2123323136 is an apocalyptic number.
123323136 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 123323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165809280).
123323136 is an abundant number, since it is smaller than the sum of its proper divisors (208295424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123323136 is a wasteful number, since it uses less digits than its factorization.
123323136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1681 (or 1667 counting only the distinct ones).
The product of its digits is 1944, while the sum is 24.
The square root of 123323136 is about 11105.0950468693. The cubic root of 123323136 is about 497.7541083794.
Adding to 123323136 its reverse (631323321), we get a palindrome (754646457).
The spelling of 123323136 in words is "one hundred twenty-three million, three hundred twenty-three thousand, one hundred thirty-six".
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