Base | Representation |
---|---|
bin | 111111100010100… |
… | …0100001110000000 |
3 | 12111120210120102020 |
4 | 1333011010032000 |
5 | 13331300100212 |
6 | 551320521440 |
7 | 103555664553 |
oct | 17705041600 |
9 | 5446716366 |
10 | 2132034432 |
11 | 9a4529030 |
12 | 4b6020280 |
13 | 27c925b48 |
14 | 16322869a |
15 | c7293d8c |
hex | 7f144380 |
2132034432 has 128 divisors (see below), whose sum is σ = 6226830720. Its totient is φ = 640972800.
The previous prime is 2132034431. The next prime is 2132034449. The reversal of 2132034432 is 2344302312.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2132034431) 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 15 ways as a sum of consecutive naturals, for example, 551418 + ... + 555270.
It is an arithmetic number, because the mean of its divisors is an integer number (48647115).
Almost surely, 22132034432 is an apocalyptic number.
2132034432 is a gapful number since it is divisible by the number (22) 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 2132034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113415360).
2132034432 is an abundant number, since it is smaller than the sum of its proper divisors (4094796288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132034432 is a wasteful number, since it uses less digits than its factorization.
2132034432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4012 (or 4000 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 2132034432 is about 46173.9583748242. The cubic root of 2132034432 is about 1287.0578607129.
Adding to 2132034432 its reverse (2344302312), we get a palindrome (4476336744).
The spelling of 2132034432 in words is "two billion, one hundred thirty-two million, thirty-four thousand, four hundred thirty-two".
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