Base | Representation |
---|---|
bin | 1111100110010… |
… | …1111000001000 |
3 | 11120010010201022 |
4 | 3321211320020 |
5 | 113222212000 |
6 | 10254212012 |
7 | 1423065050 |
oct | 371457010 |
9 | 146103638 |
10 | 65429000 |
11 | 33a2985a |
12 | 19ab4008 |
13 | 1072b0b0 |
14 | 8992560 |
15 | 5b26585 |
hex | 3e65e08 |
65429000 has 128 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 20678400.
The previous prime is 65428991. The next prime is 65429009. The reversal of 65429000 is 92456.
65429000 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 (65428991) and next prime (65429009).
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65429009) 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 31 ways as a sum of consecutive naturals, for example, 90641 + ... + 91359.
It is an arithmetic number, because the mean of its divisors is an integer number (1474200).
Almost surely, 265429000 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 65429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).
65429000 is an abundant number, since it is smaller than the sum of its proper divisors (123268600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65429000 is a wasteful number, since it uses less digits than its factorization.
65429000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 760 (or 746 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 26.
The square root of 65429000 is about 8088.8194441463. The cubic root of 65429000 is about 402.9551965987.
The spelling of 65429000 in words is "sixty-five million, four hundred twenty-nine thousand".
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