Base | Representation |
---|---|
bin | 100110010001… |
… | …1101110110100 |
3 | 1101202121220102 |
4 | 1030203232310 |
5 | 20114204200 |
6 | 1554053232 |
7 | 332405036 |
oct | 114435664 |
9 | 41677812 |
10 | 20069300 |
11 | 103683a9 |
12 | 687a218 |
13 | 4208b34 |
14 | 2945c56 |
15 | 1b666d5 |
hex | 1323bb4 |
20069300 has 36 divisors (see below), whose sum is σ = 44020620. Its totient is φ = 7941120.
The previous prime is 20069251. The next prime is 20069303. The reversal of 20069300 is 396002.
20069300 = 4062 + 4072 + ... + 5022.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 2446096 + 17623204 = 1564^2 + 4198^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20069303) 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 11 ways as a sum of consecutive naturals, for example, 8666 + ... + 10734.
It is an arithmetic number, because the mean of its divisors is an integer number (1222795).
Almost surely, 220069300 is an apocalyptic number.
20069300 is a gapful number since it is divisible by the number (20) 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 20069300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010310).
20069300 is an abundant number, since it is smaller than the sum of its proper divisors (23951320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20069300 is a wasteful number, since it uses less digits than its factorization.
20069300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2180 (or 2173 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
The square root of 20069300 is about 4479.8772304607. The cubic root of 20069300 is about 271.7549154796.
Subtracting from 20069300 its sum of digits (20), we obtain a triangular number (20069280 = T6335).
The spelling of 20069300 in words is "twenty million, sixty-nine thousand, three hundred".
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