Base | Representation |
---|---|
bin | 100110110101… |
… | …0011001000000 |
3 | 1102022022220200 |
4 | 1031222121000 |
5 | 20202434340 |
6 | 2004205200 |
7 | 335021604 |
oct | 115523100 |
9 | 42268820 |
10 | 20358720 |
11 | 10545898 |
12 | 6999800 |
13 | 42aa7a5 |
14 | 29bd504 |
15 | 1bc2330 |
hex | 136a640 |
20358720 has 84 divisors (see below), whose sum is σ = 70035420. Its totient is φ = 5428224.
The previous prime is 20358719. The next prime is 20358721. The reversal of 20358720 is 2785302.
It is an interprime number because it is at equal distance from previous prime (20358719) and next prime (20358721).
It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 13133376 = 2688^2 + 3624^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20358721) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655 + ... + 6414.
It is an arithmetic number, because the mean of its divisors is an integer number (833755).
Almost surely, 220358720 is an apocalyptic number.
20358720 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 20358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35017710).
20358720 is an abundant number, since it is smaller than the sum of its proper divisors (49676700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20358720 is a wasteful number, since it uses less digits than its factorization.
20358720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7092 (or 7079 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 20358720 is about 4512.0638293358. The cubic root of 20358720 is about 273.0550144734.
The spelling of 20358720 in words is "twenty million, three hundred fifty-eight thousand, seven hundred twenty".
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