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127770752 = 272934421
BaseRepresentation
bin1111001110110…
…10000010000000
322220102102112002
413213122002000
5230202131002
620402323132
73111014324
oct747320200
9286372462
10127770752
116613a06a
12369594a8
1320617bc5
1412d7d984
15b33d002
hex79da080

127770752 has 32 divisors (see below), whose sum is σ = 263328300. Its totient is φ = 61680640.

The previous prime is 127770751. The next prime is 127770767. The reversal of 127770752 is 257077721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114404416 + 13366336 = 10696^2 + 3656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (127770751) 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 3 ways as a sum of consecutive naturals, for example, 13499 + ... + 20922.

Almost surely, 2127770752 is an apocalyptic number.

It is an amenable number.

127770752 is an abundant number, since it is smaller than the sum of its proper divisors (135557548).

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

127770752 is an equidigital number, since it uses as much as digits as its factorization.

127770752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34464 (or 34452 counting only the distinct ones).

The product of its (nonzero) digits is 48020, while the sum is 38.

The square root of 127770752 is about 11303.5725326111. The cubic root of 127770752 is about 503.6673710134.

The spelling of 127770752 in words is "one hundred twenty-seven million, seven hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 34421 68842 137684 275368 550736 998209 1101472 1996418 2202944 3992836 4405888 7985672 15971344 31942688 63885376 127770752