| Base | Representation |
|---|---|
| bin | 1111001001010… |
| … | …11001000100000 |
| 3 | 22212002000211100 |
| 4 | 13210223020200 |
| 5 | 230011214433 |
| 6 | 20335114400 |
| 7 | 3101641620 |
| oct | 744531040 |
| 9 | 285060740 |
| 10 | 127054368 |
| 11 | 6579a911 |
| 12 | 36672a00 |
| 13 | 20426acc |
| 14 | 12c34880 |
| 15 | b24ab13 |
| hex | 792b220 |
127054368 has 288 divisors, whose sum is σ = 452874240. Its totient is φ = 32970240.
The previous prime is 127054363. The next prime is 127054373. The reversal of 127054368 is 863450721.
It is an interprime number because it is at equal distance from previous prime (127054363) and next prime (127054373).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1270543682 = 32285624855758848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (127054363) 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 47 ways as a sum of consecutive naturals, for example, 1187371 + ... + 1187477.
It is an arithmetic number, because the mean of its divisors is an integer number (1572480).
Almost surely, 2127054368 is an apocalyptic number.
127054368 is a gapful number since it is divisible by the number (18) 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 127054368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).
127054368 is an abundant number, since it is smaller than the sum of its proper divisors (325819872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127054368 is a wasteful number, since it uses less digits than its factorization.
127054368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 127054368 is about 11271.8396014138. The cubic root of 127054368 is about 502.7242868965.
The spelling of 127054368 in words is "one hundred twenty-seven million, fifty-four thousand, three hundred sixty-eight".
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