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127054242 = 23278312149
BaseRepresentation
bin1111001001010…
…11000110100010
322212002000122200
413210223012202
5230011213432
620335114030
73101641350
oct744530642
9285060580
10127054242
116579a807
1236672916
1320426a33
1412c347d0
15b24aa7c
hex792b1a2

127054242 has 48 divisors (see below), whose sum is σ = 318427200. Its totient is φ = 35860896.

The previous prime is 127054223. The next prime is 127054247. The reversal of 127054242 is 242450721.

127054242 is a `hidden beast` number, since 12 + 70 + 542 + 42 = 666.

It is a super-2 number, since 2×1270542422 = 32285560820389128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127054247) 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 23 ways as a sum of consecutive naturals, for example, 4384 + ... + 16532.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2127054242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127054242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

127054242 is an abundant number, since it is smaller than the sum of its proper divisors (191372958).

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

127054242 is a wasteful number, since it uses less digits than its factorization.

127054242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 127054242 is about 11271.8340122626. The cubic root of 127054242 is about 502.7241207124.

The spelling of 127054242 in words is "one hundred twenty-seven million, fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 3486 5229 10458 12149 24298 36447 72894 85043 109341 170086 218682 255129 510258 765387 1008367 1530774 2016734 3025101 6050202 7058569 9075303 14117138 18150606 21175707 42351414 63527121 127054242