Base | Representation |
---|---|
bin | 1110101100001… |
… | …01111100000000 |
3 | 22120212211112011 |
4 | 13112011330000 |
5 | 223021411000 |
6 | 20121142304 |
7 | 3024311653 |
oct | 726057400 |
9 | 276784464 |
10 | 123232000 |
11 | 6361a031 |
12 | 3532a994 |
13 | 1c6b9058 |
14 | 1251b89a |
15 | ac432ba |
hex | 7585f00 |
123232000 has 72 divisors (see below), whose sum is σ = 307066032. Its totient is φ = 49280000.
The previous prime is 123231973. The next prime is 123232027. The reversal of 123232000 is 232321.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (123231973) and next prime (123232027).
It is a super-2 number, since 2×1232320002 = 30372251648000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30075 + ... + 33925.
It is an arithmetic number, because the mean of its divisors is an integer number (4264806).
Almost surely, 2123232000 is an apocalyptic number.
123232000 is a gapful number since it is divisible by the number (10) 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 123232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153533016).
123232000 is an abundant number, since it is smaller than the sum of its proper divisors (183834032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123232000 is an frugal number, since it uses more digits than its factorization.
123232000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3882 (or 3858 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 123232000 is about 11100.9909467579. The cubic root of 123232000 is about 497.6314644620.
Adding to 123232000 its reverse (232321), we get a palindrome (123464321).
The spelling of 123232000 in words is "one hundred twenty-three million, two hundred thirty-two thousand".
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