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127040427 = 3341114761
BaseRepresentation
bin1111001001001…
…11101110101011
322212001022201000
413210213232223
5230010243202
620334530043
73101553153
oct744475653
9285038630
10127040427
1165790398
1236666923
1320420667
1412c2d763
15b24691c
hex7927bab

127040427 has 16 divisors (see below), whose sum is σ = 192800160. Its totient is φ = 82627200.

The previous prime is 127040423. The next prime is 127040429. The reversal of 127040427 is 724040721.

It is a happy number.

It is not a de Polignac number, because 127040427 - 22 = 127040423 is a prime.

It is a super-2 number, since 2×1270404272 = 32278540184684658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 127040427.

It is not an unprimeable number, because it can be changed into a prime (127040423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56274 + ... + 58487.

It is an arithmetic number, because the mean of its divisors is an integer number (12050010).

Almost surely, 2127040427 is an apocalyptic number.

127040427 is a deficient number, since it is larger than the sum of its proper divisors (65759733).

127040427 is a wasteful number, since it uses less digits than its factorization.

127040427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114811 (or 114805 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 127040427 is about 11271.2211849471. The cubic root of 127040427 is about 502.7058991367.

The spelling of 127040427 in words is "one hundred twenty-seven million, forty thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 41 123 369 1107 114761 344283 1032849 3098547 4705201 14115603 42346809 127040427