Base | Representation |
---|---|
bin | 111001110000110… |
… | …110010001000100 |
3 | 2111112112201012100 |
4 | 321300312101010 |
5 | 3441042402000 |
6 | 240055152100 |
7 | 33005161245 |
oct | 7160662104 |
9 | 2445481170 |
10 | 969106500 |
11 | 45804306a |
12 | 230675630 |
13 | 125a115cb |
14 | 929c8ccc |
15 | 5a12ca00 |
hex | 39c36444 |
969106500 has 144 divisors (see below), whose sum is σ = 3156281856. Its totient is φ = 250056000.
The previous prime is 969106483. The next prime is 969106507. The reversal of 969106500 is 5601969.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (969106507) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136027 + ... + 142973.
It is an arithmetic number, because the mean of its divisors is an integer number (21918624).
Almost surely, 2969106500 is an apocalyptic number.
969106500 is a gapful number since it is divisible by the number (90) 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 969106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578140928).
969106500 is an abundant number, since it is smaller than the sum of its proper divisors (2187175356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
969106500 is a wasteful number, since it uses less digits than its factorization.
969106500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7003 (or 6988 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 36.
The square root of 969106500 is about 31130.4754220041. The cubic root of 969106500 is about 989.5942628771.
The spelling of 969106500 in words is "nine hundred sixty-nine million, one hundred six thousand, five hundred".
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