Base | Representation |
---|---|
bin | 101100100100… |
… | …001010100100 |
3 | 210222112100000 |
4 | 230210022210 |
5 | 10442314333 |
6 | 1054221300 |
7 | 201204450 |
oct | 54441244 |
9 | 23875300 |
10 | 11682468 |
11 | 665a236 |
12 | 3ab4830 |
13 | 2560605 |
14 | 17a1660 |
15 | 105b713 |
hex | b242a4 |
11682468 has 144 divisors (see below), whose sum is σ = 37425024. Its totient is φ = 3110400.
The previous prime is 11682467. The next prime is 11682469. The reversal of 11682468 is 86428611.
11682468 is a `hidden beast` number, since 116 + 82 + 468 = 666.
It is an interprime number because it is at equal distance from previous prime (11682467) and next prime (11682469).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (18432) is a multiple of the sum of its prime factors (144).
It is not an unprimeable number, because it can be changed into a prime (11682467) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115618 + ... + 115718.
It is an arithmetic number, because the mean of its divisors is an integer number (259896).
It is a vampire number, since it can be written as 1818 ⋅ 6426 (with its own digits).
Almost surely, 211682468 is an apocalyptic number.
11682468 is a gapful number since it is divisible by the number (18) 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 11682468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).
11682468 is an abundant number, since it is smaller than the sum of its proper divisors (25742556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11682468 is a wasteful number, since it uses less digits than its factorization.
11682468 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 130 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 11682468 is about 3417.9625509944. The cubic root of 11682468 is about 226.9054183653.
The spelling of 11682468 in words is "eleven million, six hundred eighty-two thousand, four hundred sixty-eight".
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