Base | Representation |
---|---|
bin | 1111010101111100110000 |
3 | 21120100020100 |
4 | 33111330300 |
5 | 2012201224 |
6 | 222112400 |
7 | 46121064 |
oct | 17257460 |
9 | 7510210 |
10 | 4022064 |
11 | 22a7922 |
12 | 141b700 |
13 | aaa927 |
14 | 769aa4 |
15 | 546ac9 |
hex | 3d5f30 |
4022064 has 120 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 1198080.
The previous prime is 4022063. The next prime is 4022069. The reversal of 4022064 is 4602204.
4022064 = T17 + T18 + ... + T288.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (4022063) 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 23 ways as a sum of consecutive naturals, for example, 75862 + ... + 75914.
Almost surely, 24022064 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 4022064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).
4022064 is an abundant number, since it is smaller than the sum of its proper divisors (8512848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4022064 is a wasteful number, since it uses less digits than its factorization.
4022064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 4022064 is about 2005.5084143429. The cubic root of 4022064 is about 159.0314403235.
Adding to 4022064 its reverse (4602204), we get a palindrome (8624268).
The spelling of 4022064 in words is "four million, twenty-two thousand, sixty-four".
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