Base | Representation |
---|---|
bin | 1110101101000… |
… | …10000100100000 |
3 | 22121002200121000 |
4 | 13112202010200 |
5 | 223034102412 |
6 | 20123432000 |
7 | 3025301631 |
oct | 726420440 |
9 | 277080530 |
10 | 123347232 |
11 | 63698668 |
12 | 35385600 |
13 | 1c729638 |
14 | 1254b888 |
15 | ac674dc |
hex | 75a2120 |
123347232 has 96 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 40898304.
The previous prime is 123347197. The next prime is 123347239. The reversal of 123347232 is 232743321.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 123347196 and 123347205.
It is not an unprimeable number, because it can be changed into a prime (123347239) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316894 + ... + 317282.
It is an arithmetic number, because the mean of its divisors is an integer number (3767400).
Almost surely, 2123347232 is an apocalyptic number.
123347232 is a gapful number since it is divisible by the number (12) 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 123347232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).
123347232 is an abundant number, since it is smaller than the sum of its proper divisors (238323168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123347232 is a wasteful number, since it uses less digits than its factorization.
123347232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 775 (or 761 counting only the distinct ones).
The product of its digits is 6048, while the sum is 27.
The square root of 123347232 is about 11106.1799012982. The cubic root of 123347232 is about 497.7865248487.
The spelling of 123347232 in words is "one hundred twenty-three million, three hundred forty-seven thousand, two hundred thirty-two".
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