| Base | Representation |
|---|---|
| bin | 1111001110110… |
| … | …01100110000000 |
| 3 | 22220102100001201 |
| 4 | 13213121212000 |
| 5 | 230202101320 |
| 6 | 20402310544 |
| 7 | 3111006154 |
| oct | 747314600 |
| 9 | 286370051 |
| 10 | 127768960 |
| 11 | 66138790 |
| 12 | 36958454 |
| 13 | 20617147 |
| 14 | 12d7d064 |
| 15 | b33c70a |
| hex | 79d9980 |
127768960 has 64 divisors (see below), whose sum is σ = 333234000. Its totient is φ = 46458880.
The previous prime is 127768951. The next prime is 127768969. The reversal of 127768960 is 69867721.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (127768951) and next prime (127768969).
It is a tau number, because it is divible by the number of its divisors (64).
It is a self number, because there is not a number n which added to its sum of digits gives 127768960.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (127768969) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 2035 + ... + 16114.
Almost surely, 2127768960 is an apocalyptic number.
127768960 is a gapful number since it is divisible by the number (10) 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 127768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166617000).
127768960 is an abundant number, since it is smaller than the sum of its proper divisors (205465040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127768960 is a wasteful number, since it uses less digits than its factorization.
127768960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18179 (or 18167 counting only the distinct ones).
The product of its (nonzero) digits is 254016, while the sum is 46.
The square root of 127768960 is about 11303.4932653583. The cubic root of 127768960 is about 503.6650163375.
It can be divided in two parts, 12776 and 8960, that added together give a triangular number (21736 = T208).
The spelling of 127768960 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".
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