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127382431 = 1127194259
BaseRepresentation
bin1111001011110…
…11001110011111
322212200200211211
413211323032133
5230102214211
620350125251
73104506231
oct745731637
9285620754
10127382431
11659a4340
12367b0827
1320510227
1412cbc251
15b2b2e21
hex797b39f

127382431 has 8 divisors (see below), whose sum is σ = 139046400. Its totient is φ = 115732440.

The previous prime is 127382429. The next prime is 127382443. The reversal of 127382431 is 134283721.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127382431 - 21 = 127382429 is a prime.

It is a super-2 number, since 2×1273824312 = 32452567454939522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127382393 and 127382402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127382401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27780 + ... + 32038.

It is an arithmetic number, because the mean of its divisors is an integer number (17380800).

Almost surely, 2127382431 is an apocalyptic number.

127382431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

127382431 is a deficient number, since it is larger than the sum of its proper divisors (11663969).

127382431 is a wasteful number, since it uses less digits than its factorization.

127382431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989.

The product of its digits is 8064, while the sum is 31.

The square root of 127382431 is about 11286.3825471229. The cubic root of 127382431 is about 503.1566044265.

The spelling of 127382431 in words is "one hundred twenty-seven million, three hundred eighty-two thousand, four hundred thirty-one".

Divisors: 1 11 2719 4259 29909 46849 11580221 127382431