Base | Representation |
---|---|
bin | 111011111100000… |
… | …100010011101100 |
3 | 2121002012212122120 |
4 | 323330010103230 |
5 | 4024413231103 |
6 | 243441312540 |
7 | 33630322224 |
oct | 7374042354 |
9 | 2532185576 |
10 | 1005602028 |
11 | 4766aa762 |
12 | 240935750 |
13 | 13044bcb2 |
14 | 977a9084 |
15 | 5d43b253 |
hex | 3bf044ec |
1005602028 has 48 divisors (see below), whose sum is σ = 2431296000. Its totient is φ = 323111488.
The previous prime is 1005602009. The next prime is 1005602047. The reversal of 1005602028 is 8202065001.
It is an interprime number because it is at equal distance from previous prime (1005602009) and next prime (1005602047).
It is a super-2 number, since 2×10056020282 = 2022470877435425568, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1005601989 and 1005602007.
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, 248203 + ... + 252221.
It is an arithmetic number, because the mean of its divisors is an integer number (50652000).
Almost surely, 21005602028 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 1005602028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215648000).
1005602028 is an abundant number, since it is smaller than the sum of its proper divisors (1425693972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1005602028 is a wasteful number, since it uses less digits than its factorization.
1005602028 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4774 (or 4772 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 24.
The square root of 1005602028 is about 31711.2287368371. The cubic root of 1005602028 is about 1001.8638665099.
Adding to 1005602028 its reverse (8202065001), we get a palindrome (9207667029).
The spelling of 1005602028 in words is "one billion, five million, six hundred two thousand, twenty-eight".
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