Base | Representation |
---|---|
bin | 101111001100… |
… | …100101001100 |
3 | 212021120121100 |
4 | 233030211030 |
5 | 11131403200 |
6 | 1121103100 |
7 | 210106563 |
oct | 57144514 |
9 | 25246540 |
10 | 12372300 |
11 | 6a90546 |
12 | 4187a90 |
13 | 27425b5 |
14 | 1900bda |
15 | 1145d00 |
hex | bcc94c |
12372300 has 108 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 3229440.
The previous prime is 12372289. The next prime is 12372323. The reversal of 12372300 is 327321.
12372300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52984 + ... + 53216.
It is an arithmetic number, because the mean of its divisors is an integer number (366730).
Almost surely, 212372300 is an apocalyptic number.
12372300 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 12372300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).
12372300 is an abundant number, since it is smaller than the sum of its proper divisors (27234540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12372300 is a wasteful number, since it uses less digits than its factorization.
12372300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 18.
The square root of 12372300 is about 3517.4280376434. The cubic root of 12372300 is about 231.2864271810.
Adding to 12372300 its reverse (327321), we get a palindrome (12699621).
The spelling of 12372300 in words is "twelve million, three hundred seventy-two thousand, three hundred".
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