Base | Representation |
---|---|
bin | 1111100100101… |
… | …1010001010100 |
3 | 11112220121020000 |
4 | 3321023101110 |
5 | 113210220040 |
6 | 10252011300 |
7 | 1422132243 |
oct | 371132124 |
9 | 145817200 |
10 | 65320020 |
11 | 33964997 |
12 | 19a60b30 |
13 | 106c05cc |
14 | 896495a |
15 | 5b04130 |
hex | 3e4b454 |
65320020 has 120 divisors (see below), whose sum is σ = 208585608. Its totient is φ = 17107200.
The previous prime is 65319997. The next prime is 65320027. The reversal of 65320020 is 2002356.
65320020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2022084 + 63297936 = 1422^2 + 7956^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 65319975 and 65320002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65320027) 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 39 ways as a sum of consecutive naturals, for example, 98490 + ... + 99150.
Almost surely, 265320020 is an apocalyptic number.
65320020 is a gapful number since it is divisible by the number (60) 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 65320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104292804).
65320020 is an abundant number, since it is smaller than the sum of its proper divisors (143265588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65320020 is a wasteful number, since it uses less digits than its factorization.
65320020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 743 (or 732 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 65320020 is about 8082.0801777760. The cubic root of 65320020 is about 402.7313485532.
Adding to 65320020 its reverse (2002356), we get a palindrome (67322376).
The spelling of 65320020 in words is "sixty-five million, three hundred twenty thousand, twenty".
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