Base | Representation |
---|---|
bin | 1101110111011… |
… | …00010011010000 |
3 | 22002212020001000 |
4 | 12323230103100 |
5 | 214233424443 |
6 | 15312542000 |
7 | 2611425564 |
oct | 673542320 |
9 | 262766030 |
10 | 116311248 |
11 | 5a7223a9 |
12 | 32b51900 |
13 | 1b134c31 |
14 | 116396a4 |
15 | a3278d3 |
hex | 6eec4d0 |
116311248 has 80 divisors (see below), whose sum is σ = 335325760. Its totient is φ = 38600064.
The previous prime is 116311231. The next prime is 116311249. The reversal of 116311248 is 842113611.
It is a happy number.
116311248 is a `hidden beast` number, since 1 + 1 + 631 + 1 + 24 + 8 = 666.
It is a super-2 number, since 2×1163112482 = 27056612822635008, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 (116311249) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132186 + ... + 133062.
It is an arithmetic number, because the mean of its divisors is an integer number (4191572).
Almost surely, 2116311248 is an apocalyptic number.
116311248 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 116311248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167662880).
116311248 is an abundant number, since it is smaller than the sum of its proper divisors (219014512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116311248 is a wasteful number, since it uses less digits than its factorization.
116311248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).
The product of its digits is 1152, while the sum is 27.
The square root of 116311248 is about 10784.7692603968. The cubic root of 116311248 is about 488.1357008621.
Adding to 116311248 its reverse (842113611), we get a palindrome (958424859).
It can be divided in two parts, 116 and 311248, that added together give a square (311364 = 5582).
The spelling of 116311248 in words is "one hundred sixteen million, three hundred eleven thousand, two hundred forty-eight".
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