Base | Representation |
---|---|
bin | 1110000000011… |
… | …11000000110000 |
3 | 22012002201102221 |
4 | 13000033000300 |
5 | 220040031000 |
6 | 15354250424 |
7 | 2624515300 |
oct | 700170060 |
9 | 265081387 |
10 | 117502000 |
11 | 60365aa0 |
12 | 33426a14 |
13 | 1b460c15 |
14 | 11869600 |
15 | a4b061a |
hex | 700f030 |
117502000 has 240 divisors, whose sum is σ = 363860640. Its totient is φ = 36288000.
The previous prime is 117501991. The next prime is 117502001. The reversal of 117502000 is 205711.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a zygodrome in base 2.
It is not an unprimeable number, because it can be changed into a prime (117502001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077946 + ... + 1078054.
It is an arithmetic number, because the mean of its divisors is an integer number (1516086).
Almost surely, 2117502000 is an apocalyptic number.
117502000 is a gapful number since it is divisible by the number (10) 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 117502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).
117502000 is an abundant number, since it is smaller than the sum of its proper divisors (246358640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117502000 is a wasteful number, since it uses less digits than its factorization.
117502000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 134 counting only the distinct ones).
The product of its (nonzero) digits is 70, while the sum is 16.
The square root of 117502000 is about 10839.8339470676. The cubic root of 117502000 is about 489.7958333097.
Adding to 117502000 its reverse (205711), we get a palindrome (117707711).
The spelling of 117502000 in words is "one hundred seventeen million, five hundred two thousand".
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