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126135336 = 2335321871
BaseRepresentation
bin1111000010010…
…10110000101000
322210100100011010
413201022300220
5224242312321
620303303520
73061063335
oct741126050
9283310133
10126135336
1165222388
12362aaba0
13201946c2
1412a7598c
15b118676
hex784ac28

126135336 has 48 divisors (see below), whose sum is σ = 321572160. Its totient is φ = 41229760.

The previous prime is 126135329. The next prime is 126135337. The reversal of 126135336 is 633531621.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126135337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66481 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (6699420).

Almost surely, 2126135336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126135336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160786080).

126135336 is an abundant number, since it is smaller than the sum of its proper divisors (195436824).

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

126135336 is a wasteful number, since it uses less digits than its factorization.

126135336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1929 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 126135336 is about 11230.9988870091. The cubic root of 126135336 is about 501.5092212523.

Adding to 126135336 its reverse (633531621), we get a palindrome (759666957).

The spelling of 126135336 in words is "one hundred twenty-six million, one hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1871 2809 3742 5613 5618 7484 8427 11226 11236 14968 16854 22452 22472 33708 44904 67416 99163 198326 297489 396652 594978 793304 1189956 2379912 5255639 10511278 15766917 21022556 31533834 42045112 63067668 126135336