| Base | Representation |
|---|---|
| bin | 1111001100000… |
| … | …10101111100000 |
| 3 | 22212202021002000 |
| 4 | 13212002233200 |
| 5 | 230104210331 |
| 6 | 20350524000 |
| 7 | 3104665050 |
| oct | 746025740 |
| 9 | 285667060 |
| 10 | 127413216 |
| 11 | 65a15487 |
| 12 | 36806600 |
| 13 | 20521248 |
| 14 | 12cc9560 |
| 15 | b2bc0e6 |
| hex | 7982be0 |
127413216 has 96 divisors (see below), whose sum is σ = 424730880. Its totient is φ = 36402048.
The previous prime is 127413203. The next prime is 127413227. The reversal of 127413216 is 612314721.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1274132162 = 32468255222925312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 127413216.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 4486 + ... + 16581.
It is an arithmetic number, because the mean of its divisors is an integer number (4424280).
Almost surely, 2127413216 is an apocalyptic number.
127413216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
127413216 is an abundant number, since it is smaller than the sum of its proper divisors (297317664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127413216 is a wasteful number, since it uses less digits than its factorization.
127413216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21093 (or 21079 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 127413216 is about 11287.7462763831. The cubic root of 127413216 is about 503.1971344229.
Adding to 127413216 its reverse (612314721), we get a palindrome (739727937).
The spelling of 127413216 in words is "one hundred twenty-seven million, four hundred thirteen thousand, two hundred sixteen".
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