Base | Representation |
---|---|
bin | 11110010001100010000000 |
3 | 112221012022200 |
4 | 132101202000 |
5 | 4012424003 |
6 | 442033200 |
7 | 124312254 |
oct | 36214200 |
9 | 15835280 |
10 | 7936128 |
11 | 4530592 |
12 | 27a8800 |
13 | 184b345 |
14 | 10a8264 |
15 | a6b6a3 |
hex | 791880 |
7936128 has 72 divisors (see below), whose sum is σ = 23115495. Its totient is φ = 2613504.
The previous prime is 7936109. The next prime is 7936139. The reversal of 7936128 is 8216397.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 3968064 + 3968064 = 1992^2 + 1992^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1992.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 7936092 and 7936101.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95575 + ... + 95657.
Almost surely, 27936128 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 7936128
7936128 is an abundant number, since it is smaller than the sum of its proper divisors (15179367).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7936128 is an equidigital number, since it uses as much as digits as its factorization.
7936128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 88 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 7936128 is about 2817.1134162472. The cubic root of 7936128 is about 199.4663104775.
The spelling of 7936128 in words is "seven million, nine hundred thirty-six thousand, one hundred twenty-eight".
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