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126512633 = 1322694289
BaseRepresentation
bin1111000101001…
…10110111111001
322211001111201002
413202212313321
5224341401013
620315334345
73064224332
oct742466771
9284044632
10126512633
116545a8a5
12364513b5
1320297360
1412b33289
15b190358
hex78a6df9

126512633 has 8 divisors (see below), whose sum is σ = 136336200. Its totient is φ = 116702208.

The previous prime is 126512629. The next prime is 126512647. The reversal of 126512633 is 336215621.

It can be written as a sum of positive squares in 4 ways, for example, as 4012009 + 122500624 = 2003^2 + 11068^2 .

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 126512633 - 22 = 126512629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126512596 and 126512605.

It is not an unprimeable number, because it can be changed into a prime (126512033) 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 7 ways as a sum of consecutive naturals, for example, 27353 + ... + 31641.

It is an arithmetic number, because the mean of its divisors is an integer number (17042025).

Almost surely, 2126512633 is an apocalyptic number.

126512633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126512633 is a deficient number, since it is larger than the sum of its proper divisors (9823567).

126512633 is a wasteful number, since it uses less digits than its factorization.

126512633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571.

The product of its digits is 6480, while the sum is 29.

The square root of 126512633 is about 11247.7834705332. The cubic root of 126512633 is about 502.0087629354.

The spelling of 126512633 in words is "one hundred twenty-six million, five hundred twelve thousand, six hundred thirty-three".

Divisors: 1 13 2269 4289 29497 55757 9731741 126512633