Base | Representation |
---|---|
bin | 101111001111… |
… | …010110000000 |
3 | 212022011010110 |
4 | 233033112000 |
5 | 11132233431 |
6 | 1121231320 |
7 | 210154560 |
oct | 57172600 |
9 | 25264113 |
10 | 12383616 |
11 | 6a98aa3 |
12 | 4192540 |
13 | 27477ab |
14 | 1904da0 |
15 | 1149346 |
hex | bcf580 |
12383616 has 128 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 3317760.
The previous prime is 12383597. The next prime is 12383627. The reversal of 12383616 is 61638321.
12383616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45561 + ... + 45831.
It is an arithmetic number, because the mean of its divisors is an integer number (312120).
Almost surely, 212383616 is an apocalyptic number.
12383616 is a gapful number since it is divisible by the number (16) 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 12383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).
12383616 is an abundant number, since it is smaller than the sum of its proper divisors (27567744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12383616 is a wasteful number, since it uses less digits than its factorization.
12383616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312 (or 300 counting only the distinct ones).
The product of its digits is 5184, while the sum is 30.
The square root of 12383616 is about 3519.0362316975. The cubic root of 12383616 is about 231.3569190509.
The spelling of 12383616 in words is "twelve million, three hundred eighty-three thousand, six hundred sixteen".
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