Base | Representation |
---|---|
bin | 111101100001100… |
… | …101001000100000 |
3 | 2122221021212002000 |
4 | 331201211020200 |
5 | 4103221304044 |
6 | 250231524000 |
7 | 34402444263 |
oct | 7541451040 |
9 | 2587255060 |
10 | 1032213024 |
11 | 48a725a17 |
12 | 249829600 |
13 | 135b0854b |
14 | 9b134cda |
15 | 60945d69 |
hex | 3d865220 |
1032213024 has 96 divisors (see below), whose sum is σ = 3061800000. Its totient is φ = 338222592.
The previous prime is 1032212999. The next prime is 1032213053. The reversal of 1032213024 is 4203122301.
It is a tau number, because it is divible by the number of its divisors (96).
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 = 1032212988 and 1032213006.
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, 40852 + ... + 61100.
It is an arithmetic number, because the mean of its divisors is an integer number (31893750).
Almost surely, 21032213024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1032213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530900000).
1032213024 is an abundant number, since it is smaller than the sum of its proper divisors (2029586976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1032213024 is a wasteful number, since it uses less digits than its factorization.
1032213024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20327 (or 20313 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1032213024 is about 32128.0722110742. The cubic root of 1032213024 is about 1010.6243971000.
Adding to 1032213024 its reverse (4203122301), we get a palindrome (5235335325).
The spelling of 1032213024 in words is "one billion, thirty-two million, two hundred thirteen thousand, twenty-four".
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