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126048126 = 2321008021
BaseRepresentation
bin1111000001101…
…01011101111110
322210011220112010
413200311131332
5224232020001
620301352050
73060251151
oct740653576
9283156463
10126048126
1165172906
1236268626
1320163ab9
1412a51c98
15b0ec8d6
hex783577e

126048126 has 8 divisors (see below), whose sum is σ = 252096264. Its totient is φ = 42016040.

The previous prime is 126048121. The next prime is 126048127. The reversal of 126048126 is 621840621.

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

126048126 is an admirable number.

It is a super-2 number, since 2×1260481262 = 31776260136223752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126048093 and 126048102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126048121) 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 3 ways as a sum of consecutive naturals, for example, 10504005 + ... + 10504016.

It is an arithmetic number, because the mean of its divisors is an integer number (31512033).

Almost surely, 2126048126 is an apocalyptic number.

126048126 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

126048126 is a wasteful number, since it uses less digits than its factorization.

126048126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21008026.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 126048126 is about 11227.1156580842. The cubic root of 126048126 is about 501.3936134078.

Adding to 126048126 its reverse (621840621), we get a palindrome (747888747).

The spelling of 126048126 in words is "one hundred twenty-six million, forty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 21008021 42016042 63024063 126048126