Base | Representation |
---|---|
bin | 1101111100110… |
… | …01100110010000 |
3 | 22011012021201210 |
4 | 12332121212100 |
5 | 214424133242 |
6 | 15340100120 |
7 | 2620443210 |
oct | 676314620 |
9 | 264167653 |
10 | 117021072 |
11 | 60067733 |
12 | 33234640 |
13 | 1b32304c |
14 | 11782240 |
15 | a417d9c |
hex | 6f99990 |
117021072 has 80 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 32862336.
The previous prime is 117021067. The next prime is 117021077. The reversal of 117021072 is 270120711.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (117021067) and next prime (117021077).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (117021077) 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, 16873 + ... + 22775.
It is an arithmetic number, because the mean of its divisors is an integer number (4392576).
Almost surely, 2117021072 is an apocalyptic number.
117021072 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 117021072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).
117021072 is an abundant number, since it is smaller than the sum of its proper divisors (234385008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117021072 is a wasteful number, since it uses less digits than its factorization.
117021072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5980 (or 5974 counting only the distinct ones).
The product of its (nonzero) digits is 196, while the sum is 21.
The square root of 117021072 is about 10817.6278360831. The cubic root of 117021072 is about 489.1266854490.
Adding to 117021072 its reverse (270120711), we get a palindrome (387141783).
The spelling of 117021072 in words is "one hundred seventeen million, twenty-one thousand, seventy-two".
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