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127300968 = 23321768069
BaseRepresentation
bin1111001011001…
…11010101101000
322212112120002200
413211213111220
5230042112333
620344300200
73104016564
oct745472550
9285476080
10127300968
1165949113
1236771660
13204b2122
1412c9a6a4
15b298c13
hex7967568

127300968 has 24 divisors (see below), whose sum is σ = 344773650. Its totient is φ = 42433632.

The previous prime is 127300967. The next prime is 127300993. The reversal of 127300968 is 869003721.

It can be written as a sum of positive squares in only one way, i.e., 83503044 + 43797924 = 9138^2 + 6618^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (127300967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 883963 + ... + 884106.

Almost surely, 2127300968 is an apocalyptic number.

127300968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127300968 is an abundant number, since it is smaller than the sum of its proper divisors (217472682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127300968 is a wasteful number, since it uses less digits than its factorization.

127300968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768081 (or 1768074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127300968 is about 11282.7730633918. The cubic root of 127300968 is about 503.0493227894.

The spelling of 127300968 in words is "one hundred twenty-seven million, three hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1768069 3536138 5304207 7072276 10608414 14144552 15912621 21216828 31825242 42433656 63650484 127300968