Base | Representation |
---|---|
bin | 101101001001… |
… | …101111010000 |
3 | 211021100110000 |
4 | 231021233100 |
5 | 11012230433 |
6 | 1101410000 |
7 | 202415235 |
oct | 55115720 |
9 | 24240400 |
10 | 11836368 |
11 | 6754925 |
12 | 3b69900 |
13 | 25b568b |
14 | 180178c |
15 | 108c113 |
hex | b49bd0 |
11836368 has 50 divisors (see below), whose sum is σ = 34261634. Its totient is φ = 3945024.
The previous prime is 11836367. The next prime is 11836393. The reversal of 11836368 is 86363811.
11836368 is a `hidden beast` number, since 1 + 18 + 3 + 636 + 8 = 666.
11836368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 11209104 + 627264 = 3348^2 + 792^2 .
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).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11836367) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3271 + ... + 5862.
Almost surely, 211836368 is an apocalyptic number.
11836368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
11836368 is an abundant number, since it is smaller than the sum of its proper divisors (22425266).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11836368 is an equidigital number, since it uses as much as digits as its factorization.
11836368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9153 (or 9138 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 11836368 is about 3440.4023020571. The cubic root of 11836368 is about 227.8974608168.
The spelling of 11836368 in words is "eleven million, eight hundred thirty-six thousand, three hundred sixty-eight".
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