Base | Representation |
---|---|
bin | 101111001000… |
… | …111011000000 |
3 | 212020211001020 |
4 | 233020323000 |
5 | 11130413222 |
6 | 1120505440 |
7 | 210015102 |
oct | 57107300 |
9 | 25224036 |
10 | 12357312 |
11 | 6a80260 |
12 | 417b280 |
13 | 2738826 |
14 | 18d9572 |
15 | 114165c |
hex | bc8ec0 |
12357312 has 56 divisors (see below), whose sum is σ = 35673792. Its totient is φ = 3744000.
The previous prime is 12357307. The next prime is 12357343. The reversal of 12357312 is 21375321.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
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, 814 + ... + 5037.
It is an arithmetic number, because the mean of its divisors is an integer number (637032).
Almost surely, 212357312 is an apocalyptic number.
12357312 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 12357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836896).
12357312 is an abundant number, since it is smaller than the sum of its proper divisors (23316480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12357312 is a wasteful number, since it uses less digits than its factorization.
12357312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5877 (or 5867 counting only the distinct ones).
The product of its digits is 1260, while the sum is 24.
The square root of 12357312 is about 3515.2968580192. The cubic root of 12357312 is about 231.1929947631.
Subtracting 12357312 from its reverse (21375321), we obtain a square (9018009 = 30032).
The spelling of 12357312 in words is "twelve million, three hundred fifty-seven thousand, three hundred twelve".
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