Base | Representation |
---|---|
bin | 1111010110111… |
… | …10010110000000 |
3 | 22222102121010110 |
4 | 13223132112000 |
5 | 230440240432 |
6 | 20441231320 |
7 | 3123045024 |
oct | 753362600 |
9 | 288377113 |
10 | 128836992 |
11 | 667a8159 |
12 | 37192540 |
13 | 208cc30b |
14 | 1317a384 |
15 | b49ddcc |
hex | 7ade580 |
128836992 has 128 divisors (see below), whose sum is σ = 360345600. Its totient is φ = 40734720.
The previous prime is 128836991. The next prime is 128837017. The reversal of 128836992 is 299638821.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (128836991) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940348 + ... + 940484.
It is an arithmetic number, because the mean of its divisors is an integer number (2815200).
Almost surely, 2128836992 is an apocalyptic number.
128836992 is a gapful number since it is divisible by the number (12) 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 128836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180172800).
128836992 is an abundant number, since it is smaller than the sum of its proper divisors (231508608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128836992 is a wasteful number, since it uses less digits than its factorization.
128836992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 264 (or 252 counting only the distinct ones).
The product of its digits is 373248, while the sum is 48.
The square root of 128836992 is about 11350.6383961432. The cubic root of 128836992 is about 505.0645174572.
The spelling of 128836992 in words is "one hundred twenty-eight million, eight hundred thirty-six thousand, nine hundred ninety-two".
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