| Base | Representation |
|---|---|
| bin | 1111010001010… |
| … | …11001001000000 |
| 3 | 22221001022020200 |
| 4 | 13220223021000 |
| 5 | 230243243401 |
| 6 | 20413405200 |
| 7 | 3113600031 |
| oct | 750531100 |
| 9 | 287038220 |
| 10 | 128102976 |
| 11 | 66346731 |
| 12 | 36a99800 |
| 13 | 207031a1 |
| 14 | 13028a88 |
| 15 | b3a6686 |
| hex | 7a2b240 |
128102976 has 84 divisors (see below), whose sum is σ = 379895100. Its totient is φ = 41223168.
The previous prime is 128102971. The next prime is 128102981. The reversal of 128102976 is 679201821.
It is an interprime number because it is at equal distance from previous prime (128102971) and next prime (128102981).
It can be written as a sum of positive squares in 2 ways, for example, as 99201600 + 28901376 = 9960^2 + 5376^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 128102976.
It is not an unprimeable number, because it can be changed into a prime (128102971) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12870 + ... + 20538.
Almost surely, 2128102976 is an apocalyptic number.
128102976 is a gapful number since it is divisible by the number (16) 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 128102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189947550).
128102976 is an abundant number, since it is smaller than the sum of its proper divisors (251792124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128102976 is a wasteful number, since it uses less digits than its factorization.
128102976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7716 (or 7703 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 128102976 is about 11318.2585232888. The cubic root of 128102976 is about 504.1035312634.
The spelling of 128102976 in words is "one hundred twenty-eight million, one hundred two thousand, nine hundred seventy-six".
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