| Base | Representation |
|---|---|
| bin | 111100100011110… |
| … | …1011011011000000 |
| 3 | 12020121200010210100 |
| 4 | 1321013223123000 |
| 5 | 13130201243000 |
| 6 | 533350002400 |
| 7 | 101233122342 |
| oct | 17107533300 |
| 9 | 5217603710 |
| 10 | 2032056000 |
| 11 | 953051827 |
| 12 | 488646400 |
| 13 | 264cbc100 |
| 14 | 153c41292 |
| 15 | bd5e5a00 |
| hex | 791eb6c0 |
2032056000 has 504 divisors, whose sum is σ = 7918301664. Its totient is φ = 497203200.
The previous prime is 2032055999. The next prime is 2032056001. The reversal of 2032056000 is 6502302.
2032056000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2032055999) and next prime (2032056001).
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 (2032056001) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12167917 + ... + 12168083.
It is an arithmetic number, because the mean of its divisors is an integer number (15710916).
Almost surely, 22032056000 is an apocalyptic number.
2032056000 is a gapful number since it is divisible by the number (20) 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 2032056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959150832).
2032056000 is an abundant number, since it is smaller than the sum of its proper divisors (5886245664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032056000 is a wasteful number, since it uses less digits than its factorization.
2032056000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 226 (or 190 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 2032056000 is about 45078.3318236157. The cubic root of 2032056000 is about 1266.6167416457.
Adding to 2032056000 its reverse (6502302), we get a palindrome (2038558302).
The spelling of 2032056000 in words is "two billion, thirty-two million, fifty-six thousand", and thus it is an eban number.
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