Base | Representation |
---|---|
bin | 111100100011110… |
… | …0011010111110000 |
3 | 12020121121110120000 |
4 | 1321013203113300 |
5 | 13130144214044 |
6 | 533345150000 |
7 | 101232624243 |
oct | 17107432760 |
9 | 5217543500 |
10 | 2032023024 |
11 | 953029a79 |
12 | 48862b300 |
13 | 264caa0b5 |
14 | 153c3325a |
15 | bd5dad69 |
hex | 791e35f0 |
2032023024 has 100 divisors (see below), whose sum is σ = 5912776320. Its totient is φ = 673712640.
The previous prime is 2032023023. The next prime is 2032023047. The reversal of 2032023024 is 4203202302.
It is a super-2 number, since 2×20320230242 = 8258235140132209152, which contains 22 as substring.
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 = 2032022988 and 2032023006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2032023023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243432 + ... + 251640.
Almost surely, 22032023024 is an apocalyptic number.
2032023024 is a gapful number since it is divisible by the number (24) 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 2032023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956388160).
2032023024 is an abundant number, since it is smaller than the sum of its proper divisors (3880753296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032023024 is a wasteful number, since it uses less digits than its factorization.
2032023024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8420 (or 8405 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 2032023024 is about 45077.9660588186. The cubic root of 2032023024 is about 1266.6098900990.
Adding to 2032023024 its reverse (4203202302), we get a palindrome (6235225326).
The spelling of 2032023024 in words is "two billion, thirty-two million, twenty-three thousand, twenty-four".
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