Base | Representation |
---|---|
bin | 1101110111000… |
… | …00111000000000 |
3 | 22002202211211200 |
4 | 12323200320000 |
5 | 214230430243 |
6 | 15311541200 |
7 | 2611142256 |
oct | 673407000 |
9 | 262684750 |
10 | 116264448 |
11 | 5a6a0223 |
12 | 32b2a800 |
13 | 1b119841 |
14 | 116265d6 |
15 | a318ad3 |
hex | 6ee0e00 |
116264448 has 120 divisors (see below), whose sum is σ = 350455248. Its totient is φ = 37036032.
The previous prime is 116264441. The next prime is 116264453. The reversal of 116264448 is 844462611.
It is a happy number.
116264448 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 644 + 4 + 8 = 666.
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 (116264441) 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 11 ways as a sum of consecutive naturals, for example, 105436 + ... + 106532.
Almost surely, 2116264448 is an apocalyptic number.
116264448 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 116264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175227624).
116264448 is an abundant number, since it is smaller than the sum of its proper divisors (234190800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116264448 is a wasteful number, since it uses less digits than its factorization.
116264448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 116264448 is about 10782.5993155639. The cubic root of 116264448 is about 488.0702219113.
The spelling of 116264448 in words is "one hundred sixteen million, two hundred sixty-four thousand, four hundred forty-eight".
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