Base | Representation |
---|---|
bin | 1000001000101111000000 |
3 | 11000100211100 |
4 | 20020233000 |
5 | 1021223203 |
6 | 113414400 |
7 | 24062310 |
oct | 10105700 |
9 | 4010740 |
10 | 2132928 |
11 | 1227556 |
12 | 86a400 |
13 | 598ab5 |
14 | 3d7440 |
15 | 2c1ea3 |
hex | 208bc0 |
2132928 has 126 divisors (see below), whose sum is σ = 7304024. Its totient is φ = 582912.
The previous prime is 2132903. The next prime is 2132941. The reversal of 2132928 is 8292312.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (126).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92725 + ... + 92747.
22132928 is an apocalyptic number.
2132928 is a gapful number since it is divisible by the number (28) 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 2132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652012).
2132928 is an abundant number, since it is smaller than the sum of its proper divisors (5171096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132928 is a wasteful number, since it uses less digits than its factorization.
2132928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 35 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 2132928 is about 1460.4547237077. The cubic root of 2132928 is about 128.7237644095.
The spelling of 2132928 in words is "two million, one hundred thirty-two thousand, nine hundred twenty-eight".
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