Base | Representation |
---|---|
bin | 101110011111… |
… | …110001000000 |
3 | 211221020210200 |
4 | 232133301000 |
5 | 11110014421 |
6 | 1113125200 |
7 | 205413450 |
oct | 56376100 |
9 | 24836720 |
10 | 12188736 |
11 | 697563a |
12 | 40b9800 |
13 | 26a9b91 |
14 | 1893d60 |
15 | 110b726 |
hex | b9fc40 |
12188736 has 84 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 3481344.
The previous prime is 12188723. The next prime is 12188749. The reversal of 12188736 is 63788121.
12188736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12188723) and next prime (12188749).
It is a tau number, because it is divible by the number of its divisors (84).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 12188736.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2521 + ... + 5543.
It is an arithmetic number, because the mean of its divisors is an integer number (475488).
Almost surely, 212188736 is an apocalyptic number.
12188736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
12188736 is the 2016-th octagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12188736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).
12188736 is an abundant number, since it is smaller than the sum of its proper divisors (27752256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12188736 is a wasteful number, since it uses less digits than its factorization.
12188736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3048 (or 3035 counting only the distinct ones).
The product of its digits is 16128, while the sum is 36.
The square root of 12188736 is about 3491.2370300511. The cubic root of 12188736 is about 230.1368813437.
The spelling of 12188736 in words is "twelve million, one hundred eighty-eight thousand, seven hundred thirty-six".
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