Base | Representation |
---|---|
bin | 101101101110… |
… | …100100100000 |
3 | 211120000101120 |
4 | 231232210200 |
5 | 11032042412 |
6 | 1104532240 |
7 | 203614125 |
oct | 55564440 |
9 | 24500346 |
10 | 11987232 |
11 | 6848204 |
12 | 4021080 |
13 | 263924a |
14 | 184074c |
15 | 10bbb8c |
hex | b6e920 |
11987232 has 96 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3717120.
The previous prime is 11987231. The next prime is 11987249. The reversal of 11987232 is 23278911.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 11987193 and 11987202.
It is not an unprimeable number, because it can be changed into a prime (11987231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134644 + ... + 134732.
It is an arithmetic number, because the mean of its divisors is an integer number (351540).
Almost surely, 211987232 is an apocalyptic number.
11987232 is a gapful number since it is divisible by the number (12) 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 11987232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).
11987232 is an abundant number, since it is smaller than the sum of its proper divisors (21760608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11987232 is a wasteful number, since it uses less digits than its factorization.
11987232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 186 (or 178 counting only the distinct ones).
The product of its digits is 6048, while the sum is 33.
The square root of 11987232 is about 3462.2582226056. The cubic root of 11987232 is about 228.8616212983.
The spelling of 11987232 in words is "eleven million, nine hundred eighty-seven thousand, two hundred thirty-two".
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