Base | Representation |
---|---|
bin | 101111000001… |
… | …100010100000 |
3 | 212012021120020 |
4 | 233001202200 |
5 | 11123431242 |
6 | 1120113440 |
7 | 206530662 |
oct | 57014240 |
9 | 25167506 |
10 | 12327072 |
11 | 6a5a56a |
12 | 4165880 |
13 | 2727b34 |
14 | 18cc532 |
15 | 11376ec |
hex | bc18a0 |
12327072 has 48 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 4050432.
The previous prime is 12327061. The next prime is 12327083. The reversal of 12327072 is 27072321.
It is an interprime number because it is at equal distance from previous prime (12327061) and next prime (12327083).
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an alternating number because its digits alternate between odd and even.
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, 6129 + ... + 7887.
It is an arithmetic number, because the mean of its divisors is an integer number (683760).
Almost surely, 212327072 is an apocalyptic number.
12327072 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 12327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410240).
12327072 is an abundant number, since it is smaller than the sum of its proper divisors (20493408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12327072 is a wasteful number, since it uses less digits than its factorization.
12327072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).
The product of its (nonzero) digits is 1176, while the sum is 24.
The square root of 12327072 is about 3510.9930219241. The cubic root of 12327072 is about 231.0042539649.
Adding to 12327072 its reverse (27072321), we get a palindrome (39399393).
The spelling of 12327072 in words is "twelve million, three hundred twenty-seven thousand, seventy-two".
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