Base | Representation |
---|---|
bin | 111011110001000… |
… | …010010001110000 |
3 | 2120212202221201011 |
4 | 323301002101300 |
5 | 4023143211003 |
6 | 243255320304 |
7 | 33563616100 |
oct | 7361022160 |
9 | 2525687634 |
10 | 1002710128 |
11 | 475004a62 |
12 | 23b980094 |
13 | 12c978904 |
14 | 97255200 |
15 | 5d06946d |
hex | 3bc42470 |
1002710128 has 60 divisors (see below), whose sum is σ = 2332892352. Its totient is φ = 415860480.
The previous prime is 1002710117. The next prime is 1002710147. The reversal of 1002710128 is 8210172001.
It is a junction number, because it is equal to n+sod(n) for n = 1002710099 and 1002710108.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3676 + ... + 44932.
Almost surely, 21002710128 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 1002710128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166446176).
1002710128 is an abundant number, since it is smaller than the sum of its proper divisors (1330182224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002710128 is a wasteful number, since it uses less digits than its factorization.
1002710128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41310 (or 41297 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 22.
The square root of 1002710128 is about 31665.5984942650. The cubic root of 1002710128 is about 1000.9025611383.
Adding to 1002710128 its reverse (8210172001), we get a palindrome (9212882129).
The spelling of 1002710128 in words is "one billion, two million, seven hundred ten thousand, one hundred twenty-eight".
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