Base | Representation |
---|---|
bin | 1101100000000… |
… | …00000000000000 |
3 | 21220002111121000 |
4 | 12300000000000 |
5 | 212442334313 |
6 | 15123132000 |
7 | 2543401605 |
oct | 660000000 |
9 | 256074530 |
10 | 113246208 |
11 | 58a19609 |
12 | 31b14000 |
13 | 1a600aba |
14 | 1107c6ac |
15 | 9e1e673 |
hex | 6c00000 |
113246208 has 92 divisors (see below), whose sum is σ = 335544280. Its totient is φ = 37748736.
The previous prime is 113246183. The next prime is 113246209. The reversal of 113246208 is 802642311.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (2!)13.
113246208 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 620 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 8.
It is a zygodrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (113246209) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37748735 + 37748736 + 37748737.
Almost surely, 2113246208 is an apocalyptic number.
113246208 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 113246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167772140).
113246208 is an abundant number, since it is smaller than the sum of its proper divisors (222298072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113246208 is an frugal number, since it uses more digits than its factorization.
113246208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 53 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 113246208 is about 10641.7201617032. The cubic root of 113246208 is about 483.8096831596.
Multiplying 113246208 by its sum of digits (27), we get a square (3057647616 = 552962).
113246208 divided by its sum of digits (27) gives a 22-nd power (4194304 = 222).
Multiplying 113246208 by its product of nonzero digits (2304), we get a 5-th power (260919263232 = 1925).
Adding to 113246208 its reverse (802642311), we get a palindrome (915888519).
The spelling of 113246208 in words is "one hundred thirteen million, two hundred forty-six thousand, two hundred eight".
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