Base | Representation |
---|---|
bin | 111010001011… |
… | …1011000110100 |
3 | 2010101210022022 |
4 | 1310113120310 |
5 | 30302121000 |
6 | 3005452312 |
7 | 520166255 |
oct | 164273064 |
9 | 63353268 |
10 | 30504500 |
11 | 16245534 |
12 | a271098 |
13 | 6420800 |
14 | 40a0b2c |
15 | 2a28585 |
hex | 1d17634 |
30504500 has 108 divisors (see below), whose sum is σ = 76137516. Its totient is φ = 10670400.
The previous prime is 30504493. The next prime is 30504503. The reversal of 30504500 is 540503.
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 can be written as a sum of positive squares in 6 ways, for example, as 21492496 + 9012004 = 4636^2 + 3002^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30504503) 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 35 ways as a sum of consecutive naturals, for example, 1605491 + ... + 1605509.
It is an arithmetic number, because the mean of its divisors is an integer number (704977).
Almost surely, 230504500 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068758).
30504500 is an abundant number, since it is smaller than the sum of its proper divisors (45633016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30504500 is a wasteful number, since it uses less digits than its factorization.
30504500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 17.
The square root of 30504500 is about 5523.0879044245. The cubic root of 30504500 is about 312.4553536217.
The spelling of 30504500 in words is "thirty million, five hundred four thousand, five hundred".
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