Base | Representation |
---|---|
bin | 111110000001011000000 |
3 | 10211020211010 |
4 | 13300023000 |
5 | 1010013240 |
6 | 111320520 |
7 | 23163063 |
oct | 7601300 |
9 | 3736733 |
10 | 2032320 |
11 | 1168a04 |
12 | 820140 |
13 | 562074 |
14 | 3ac8da |
15 | 2a2280 |
hex | 1f02c0 |
2032320 has 112 divisors (see below), whose sum is σ = 6766560. Its totient is φ = 516096.
The previous prime is 2032313. The next prime is 2032339. The reversal of 2032320 is 232302.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 2032296 and 2032305.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27804 + ... + 27876.
22032320 is an apocalyptic number.
2032320 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 2032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383280).
2032320 is an abundant number, since it is smaller than the sum of its proper divisors (4734240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032320 is a wasteful number, since it uses less digits than its factorization.
2032320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 12.
The square root of 2032320 is about 1425.5946127844. The cubic root of 2032320 is about 126.6671591240.
Adding to 2032320 its reverse (232302), we get a palindrome (2264622).
The spelling of 2032320 in words is "two million, thirty-two thousand, three hundred twenty".
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