Base | Representation |
---|---|
bin | 1110100011010… |
… | …00110011010100 |
3 | 22111200111110000 |
4 | 13101220303110 |
5 | 222222022314 |
6 | 20040131300 |
7 | 3011345652 |
oct | 721506324 |
9 | 274614400 |
10 | 122064084 |
11 | 629a160a |
12 | 34a66b30 |
13 | 1c39a58c |
14 | 122d5dd2 |
15 | aab2209 |
hex | 7468cd4 |
122064084 has 60 divisors (see below), whose sum is σ = 323919904. Its totient is φ = 40073616.
The previous prime is 122064071. The next prime is 122064109. The reversal of 122064084 is 480460221.
122064084 is a `hidden beast` number, since 12 + 2 + 0 + 640 + 8 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 18897 + ... + 24519.
Almost surely, 2122064084 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 122064084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161959952).
122064084 is an abundant number, since it is smaller than the sum of its proper divisors (201855820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122064084 is a wasteful number, since it uses less digits than its factorization.
122064084 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5706 (or 5695 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 122064084 is about 11048.2615827106. The cubic root of 122064084 is about 496.0543915811.
It can be divided in two parts, 12206 and 4084, that added together give a triangular number (16290 = T180).
The spelling of 122064084 in words is "one hundred twenty-two million, sixty-four thousand, eighty-four".
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