Base | Representation |
---|---|
bin | 100100001100… |
… | …1100100000000 |
3 | 1022201020101121 |
4 | 1020121210000 |
5 | 14324312242 |
6 | 1514442024 |
7 | 320214400 |
oct | 110314400 |
9 | 38636347 |
10 | 18979072 |
11 | a793292 |
12 | 6433314 |
13 | 3c16828 |
14 | 2740800 |
15 | 19ed667 |
hex | 1219900 |
18979072 has 108 divisors (see below), whose sum is σ = 47185740. Its totient is φ = 7569408.
The previous prime is 18979067. The next prime is 18979073. The reversal of 18979072 is 27097981.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 9834496 = 3024^2 + 3136^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18979073) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213204 + ... + 213292.
It is an arithmetic number, because the mean of its divisors is an integer number (436905).
Almost surely, 218979072 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 18979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592870).
18979072 is an abundant number, since it is smaller than the sum of its proper divisors (28206668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18979072 is an equidigital number, since it uses as much as digits as its factorization.
18979072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 63504, while the sum is 43.
The square root of 18979072 is about 4356.4976758860. The cubic root of 18979072 is about 266.7421564056.
The spelling of 18979072 in words is "eighteen million, nine hundred seventy-nine thousand, seventy-two".
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