Base | Representation |
---|---|
bin | 101101010000… |
… | …000100010000 |
3 | 211022200000000 |
4 | 231100010100 |
5 | 11014043123 |
6 | 1102130000 |
7 | 202553634 |
oct | 55200420 |
9 | 24280000 |
10 | 11862288 |
11 | 6772349 |
12 | 3b80900 |
13 | 25c4409 |
14 | 180adc4 |
15 | 1094b43 |
hex | b50110 |
11862288 has 90 divisors (see below), whose sum is σ = 34778094. Its totient is φ = 3919104.
The previous prime is 11862271. The next prime is 11862293. The reversal of 11862288 is 88226811.
It can be written as a sum of positive squares in only one way, i.e., 6718464 + 5143824 = 2592^2 + 2268^2 .
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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104920 + ... + 105032.
Almost surely, 211862288 is an apocalyptic number.
11862288 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 11862288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389047).
11862288 is an abundant number, since it is smaller than the sum of its proper divisors (22915806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11862288 is an frugal number, since it uses more digits than its factorization.
11862288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145 (or 118 counting only the distinct ones).
The product of its digits is 12288, while the sum is 36.
The square root of 11862288 is about 3444.1672433260. The cubic root of 11862288 is about 228.0636941161.
The spelling of 11862288 in words is "eleven million, eight hundred sixty-two thousand, two hundred eighty-eight".
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