Base | Representation |
---|---|
bin | 1111100101110… |
… | …0011000010100 |
3 | 11120001011100120 |
4 | 3321130120110 |
5 | 113214440400 |
6 | 10253311540 |
7 | 1422543456 |
oct | 371343024 |
9 | 146034316 |
10 | 65390100 |
11 | 33a02606 |
12 | 19a955b0 |
13 | 10716489 |
14 | 89822d6 |
15 | 5b19ca0 |
hex | 3e5c614 |
65390100 has 144 divisors (see below), whose sum is σ = 200278848. Its totient is φ = 16450560.
The previous prime is 65390093. The next prime is 65390107. The reversal of 65390100 is 109356.
65390100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (65390093) and next prime (65390107).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65390107) 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 47 ways as a sum of consecutive naturals, for example, 477232 + ... + 477368.
Almost surely, 265390100 is an apocalyptic number.
65390100 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 65390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100139424).
65390100 is an abundant number, since it is smaller than the sum of its proper divisors (134888748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65390100 is a wasteful number, since it uses less digits than its factorization.
65390100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 234 (or 227 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 24.
The square root of 65390100 is about 8086.4145330301. The cubic root of 65390100 is about 402.8753234302.
Adding to 65390100 its reverse (109356), we get a palindrome (65499456).
The spelling of 65390100 in words is "sixty-five million, three hundred ninety thousand, one hundred".
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