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127147338 = 2327063741
BaseRepresentation
bin1111001010000…
…01110101001010
322212020202100200
413211001311022
5230022203323
620341113030
73102506643
oct745016512
9285222320
10127147338
116585374a
12366b8776
132045a216
1412c5a6ca
15b268443
hex7941d4a

127147338 has 12 divisors (see below), whose sum is σ = 275485938. Its totient is φ = 42382440.

The previous prime is 127147333. The next prime is 127147343. The reversal of 127147338 is 833741721.

It is an interprime number because it is at equal distance from previous prime (127147333) and next prime (127147343).

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 45118089 = 9057^2 + 6717^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (127147333) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3531853 + ... + 3531888.

Almost surely, 2127147338 is an apocalyptic number.

127147338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

127147338 is an abundant number, since it is smaller than the sum of its proper divisors (148338600).

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

127147338 is a wasteful number, since it uses less digits than its factorization.

127147338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063749 (or 7063746 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 127147338 is about 11275.9628413719. The cubic root of 127147338 is about 502.8468771502.

The spelling of 127147338 in words is "one hundred twenty-seven million, one hundred forty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 7063741 14127482 21191223 42382446 63573669 127147338