Base | Representation |
---|---|
bin | 1111010000010… |
… | …00100100000000 |
3 | 22220210002222001 |
4 | 13220020210000 |
5 | 230224230334 |
6 | 20410353344 |
7 | 3112440100 |
oct | 750104400 |
9 | 286702861 |
10 | 127961344 |
11 | 6625a285 |
12 | 36a2b854 |
13 | 20683894 |
14 | 12dcd200 |
15 | b379714 |
hex | 7a08900 |
127961344 has 81 divisors (see below), whose sum is σ = 300095481. Its totient is φ = 54297600.
The previous prime is 127961321. The next prime is 127961359. The reversal of 127961344 is 443169721.
The square root of 127961344 is 11312.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 122943744 + 5017600 = 11088^2 + 2240^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1266894 + ... + 1266994.
Almost surely, 2127961344 is an apocalyptic number.
127961344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
127961344 is the 11312-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 127961344
127961344 is an abundant number, since it is smaller than the sum of its proper divisors (172134137).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127961344 is an frugal number, since it uses more digits than its factorization.
127961344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 232 (or 110 counting only the distinct ones).
The product of its digits is 36288, while the sum is 37.
The cubic root of 127961344 is about 503.9176820290.
The spelling of 127961344 in words is "one hundred twenty-seven million, nine hundred sixty-one thousand, three hundred forty-four".
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